 1.6.1: In Exercises 1 and 2, evaluate the expressions. a) (b) (c) (d)2713
 1.6.2: In Exercises 1 and 2, evaluate the expressions.
 1.6.3: In Exercises 36, use the properties of exponents to simplify the ex...
 1.6.4: In Exercises 36, use the properties of exponents to simplify the ex...
 1.6.5: In Exercises 36, use the properties of exponents to simplify the ex...
 1.6.6: In Exercises 36, use the properties of exponents to simplify the ex...
 1.6.7: In Exercises 716, solve for x. 3 x1 125 x 81x.
 1.6.8: In Exercises 716, solve for x.5 3 x1 125 x
 1.6.9: In Exercises 716, solve for x.
 1.6.10: In Exercises 716, solve for x.
 1.6.11: In Exercises 716, solve for x.43 x 231
 1.6.12: In Exercises 716, solve for x.
 1.6.13: In Exercises 716, solve for x.
 1.6.14: In Exercises 716, solve for x.x 3 x 43 16 34
 1.6.15: In Exercises 716, solve for x.e x 1 2x e5x
 1.6.16: In Exercises 716, solve for x.e e x 1 2
 1.6.17: In Exercises 17 and 18, compare the given number with thenumber Is ...
 1.6.18: In Exercises 17 and 18, compare the given number with thenumber Is ...
 1.6.19: In Exercises 1928, sketch the graph of the function.y 3x1
 1.6.20: In Exercises 1928, sketch the graph of the function.y 3x1 y
 1.6.21: In Exercises 1928, sketch the graph of the function.y 13xy
 1.6.22: In Exercises 1928, sketch the graph of the function.y 2x2
 1.6.23: In Exercises 1928, sketch the graph of the function.fx 3x 2
 1.6.24: In Exercises 1928, sketch the graph of the function.fx 3x fx
 1.6.25: In Exercises 1928, sketch the graph of the function.hx ex2f
 1.6.26: In Exercises 1928, sketch the graph of the function.gx ex2 hx
 1.6.27: In Exercises 1928, sketch the graph of the function.y ex 2
 1.6.28: In Exercises 1928, sketch the graph of the function.y ex4 y
 1.6.29: Use a graphing utility to graph and the given function in the same ...
 1.6.30: Use a graphing utility to graph the function. Describe the shape of...
 1.6.31: In Exercises 3134, match the equation with the correct graph. Assum...
 1.6.32: In Exercises 3134, match the equation with the correct graph. Assum...
 1.6.33: In Exercises 3134, match the equation with the correct graph. Assum...
 1.6.34: In Exercises 3134, match the equation with the correct graph. Assum...
 1.6.35: In Exercises 3538, match the function with its graph. [The graphs a...
 1.6.36: In Exercises 3538, match the function with its graph. [The graphs a...
 1.6.37: In Exercises 3538, match the function with its graph. [The graphs a...
 1.6.38: In Exercises 3538, match the function with its graph. [The graphs a...
 1.6.39: In Exercises 39 and 40, find the exponential function that fits the...
 1.6.40: In Exercises 39 and 40, find the exponential function that fits the...
 1.6.41: In Exercises 4144, write the exponential equation as a logarithmic ...
 1.6.42: In Exercises 4144, write the exponential equation as a logarithmic ...
 1.6.43: In Exercises 4144, write the exponential equation as a logarithmic ...
 1.6.44: In Exercises 4144, write the exponential equation as a logarithmic ...
 1.6.45: In Exercises 4550, sketch the graph of the function and state its d...
 1.6.46: In Exercises 4550, sketch the graph of the function and state its d...
 1.6.47: In Exercises 4550, sketch the graph of the function and state its d...
 1.6.48: In Exercises 4550, sketch the graph of the function and state its d...
 1.6.49: In Exercises 4550, sketch the graph of the function and state its d...
 1.6.50: In Exercises 4550, sketch the graph of the function and state its d...
 1.6.51: In Exercises 5154, show that the functions and are inverses of each...
 1.6.52: In Exercises 5154, show that the functions and are inverses of each...
 1.6.53: In Exercises 5154, show that the functions and are inverses of each...
 1.6.54: In Exercises 5154, show that the functions and are inverses of each...
 1.6.55: In Exercises 5558, (a) find the inverse of the function, (b) use a ...
 1.6.56: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.57: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.58: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.59: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.60: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.61: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.62: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.63: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.64: In Exercises 5964, apply the inverse properties of and to simplify ...
 1.6.65: In Exercises 65 and 66, use the properties of logarithms to approxi...
 1.6.66: In Exercises 65 and 66, use the properties of logarithms to approxi...
 1.6.67: In your own words, state the properties of the natural logarithmic ...
 1.6.68: Explain why
 1.6.69: In your own words, state the properties of the naturalexponential f...
 1.6.70: The table of values below was obtained by evaluating a function. De...
 1.6.71: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.72: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.73: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.74: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.75: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.76: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.77: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.78: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.79: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.80: In Exercises 7180, use the properties of logarithms to expand the l...
 1.6.81: In Exercises 8186, write the expression as the logarithm of a singl...
 1.6.82: In Exercises 8186, write the expression as the logarithm of a singl...
 1.6.83: In Exercises 8186, write the expression as the logarithm of a singl...
 1.6.84: In Exercises 8186, write the expression as the logarithm of a singl...
 1.6.85: In Exercises 8186, write the expression as the logarithm of a singl...
 1.6.86: In Exercises 8186, write the expression as the logarithm of a singl...
 1.6.87: In Exercises 8790, solve for x accurate to three decimal places.
 1.6.88: In Exercises 8790, solve for x accurate to three decimal places.
 1.6.89: In Exercises 8790, solve for x accurate to three decimal places.
 1.6.90: In Exercises 8790, solve for x accurate to three decimal places.
 1.6.91: In Exercises 9194, solve the inequality for x. ex > 5
 1.6.92: In Exercises 9194, solve the inequality for x.
 1.6.93: In Exercises 9194, solve the inequality for x.
 1.6.94: In Exercises 9194, solve the inequality for x. 1 < ln x < 100
 1.6.95: In Exercises 95 and 96, show that by using a graphing utility to gr...
 1.6.96: In Exercises 95 and 96, show that by using a graphing utility to gr...
 1.6.97: Prove that n xy ln x ln y, x > 0, y > 0.g
 1.6.98: Prove that ln xy y ln x.
 1.6.99: Graph the functions in the same viewing window. Where do these grap...
 1.6.100: Graph the functions in the same viewing window. Where do these grap...
 1.6.101: Let (a) Use a graphing utility to graph and determine its domain. (...
Solutions for Chapter 1.6: Exponential and Logarithmic Functions
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 1.6: Exponential and Logarithmic Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 1.6: Exponential and Logarithmic Functions includes 101 full stepbystep solutions. Since 101 problems in chapter 1.6: Exponential and Logarithmic Functions have been answered, more than 41758 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This expansive textbook survival guide covers the following chapters and their solutions.

Central angle
An angle whose vertex is the center of a circle

Conditional probability
The probability of an event A given that an event B has already occurred

Dihedral angle
An angle formed by two intersecting planes,

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Feasible points
Points that satisfy the constraints in a linear programming problem.

Fibonacci numbers
The terms of the Fibonacci sequence.

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Geometric series
A series whose terms form a geometric sequence.

Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

kth term of a sequence
The kth expression in the sequence

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Multiplicity
The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x  c) (x  z 2) Á (x  z n)

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Parallel lines
Two lines that are both vertical or have equal slopes.

Remainder polynomial
See Division algorithm for polynomials.

Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

Spiral of Archimedes
The graph of the polar curve.

Trigonometric form of a complex number
r(cos ? + i sin ?)