 1.4.1: Simplify the expressions in Exercises 16 completely
 1.4.2: Simplify the expressions in Exercises 16 completely
 1.4.3: Simplify the expressions in Exercises 16 completely
 1.4.4: Simplify the expressions in Exercises 16 completely
 1.4.5: Simplify the expressions in Exercises 16 completely
 1.4.6: Simplify the expressions in Exercises 16 completely
 1.4.7: For Exercises 718, solve for x using logs.
 1.4.8: For Exercises 718, solve for x using logs.
 1.4.9: For Exercises 718, solve for x using logs.
 1.4.10: For Exercises 718, solve for x using logs.
 1.4.11: For Exercises 718, solve for x using logs.
 1.4.12: For Exercises 718, solve for x using logs.
 1.4.13: For Exercises 718, solve for x using logs.
 1.4.14: For Exercises 718, solve for x using logs.
 1.4.15: For Exercises 718, solve for x using logs.
 1.4.16: For Exercises 718, solve for x using logs.
 1.4.17: For Exercises 718, solve for x using logs.
 1.4.18: For Exercises 718, solve for x using logs.
 1.4.19: For Exercises 1924, solve for t. Assume a and b are positive consta...
 1.4.20: For Exercises 1924, solve for t. Assume a and b are positive consta...
 1.4.21: For Exercises 1924, solve for t. Assume a and b are positive consta...
 1.4.22: For Exercises 1924, solve for t. Assume a and b are positive consta...
 1.4.23: For Exercises 1924, solve for t. Assume a and b are positive consta...
 1.4.24: For Exercises 1924, solve for t. Assume a and b are positive consta...
 1.4.25: In Exercises 2528, put the functions in the form P = P0ekt
 1.4.26: In Exercises 2528, put the functions in the form P = P0ekt
 1.4.27: In Exercises 2528, put the functions in the form P = P0ekt
 1.4.28: In Exercises 2528, put the functions in the form P = P0ekt
 1.4.29: Find the inverse function in Exercises 2931.
 1.4.30: Find the inverse function in Exercises 2931.
 1.4.31: Find the inverse function in Exercises 2931.
 1.4.32: The population of a region is growing exponentially. There were 40,...
 1.4.33: One hundred kilograms of a radioactive substance decay to 40 kg in ...
 1.4.34: A culture of bacteria originally numbers 500. After 2 hours there a...
 1.4.35: The population of the US was 281.4 million in 2000 and 308.7 millio...
 1.4.36: The concentration of the car exhaust fume nitrous oxide, NO2, in th...
 1.4.37: For children and adults with diseases such as asthma, the number of...
 1.4.38: The number of alternative fuel vehicles26 running on E85, fuel that...
 1.4.39: At time t hours after taking the cough suppressant hydrocodone bita...
 1.4.40: A cup of coffee contains 100 mg of caffeine, which leaves the body ...
 1.4.41: The exponential function y(x) = Cex satisfies the conditions y(0) =...
 1.4.42: Without a calculator or computer, match the functions ex, ln x, x2,...
 1.4.43: With time, t, in years since the start of 1980, textbook prices hav...
 1.4.44: In November 2010, a tiger summit was held in St. Petersburg, Russia...
 1.4.45: In 2011, the populations of China and India were approximately 1.34...
 1.4.46: The thirdquarter revenue of AppleR went from $3.68 billion30 in 20...
 1.4.47: The world population was 6.9 billion at the end of 2010 and is pred...
 1.4.48: In the early 1920s, Germany had tremendously high inflation, called...
 1.4.49: Different isotopes (versions) of the same element can have very dif...
 1.4.50: The size of an exponentially growing bacteria colony doubles in 5 h...
 1.4.51: Air pressure, P, decreases exponentially with height, h, above sea ...
 1.4.52: Find the equation of the line l in Figure 1.47.
 1.4.53: In 2010, there were about 246 million vehicles (cars and trucks) an...
 1.4.54: A picture supposedly painted by Vermeer (16321675) contains 99.5% o...
 1.4.55: Is there a difference between ln[ln(x)] and ln2(x)? [Note: ln2(x) i...
 1.4.56: If h(x) = ln(x + a), where a > 0, what is the effect of increasing ...
 1.4.57: If h(x) = ln(x + a), where a > 0, what is the effect of increasing ...
 1.4.58: If g(x) = ln(ax + 2), where a = 0, what is the effect of increasing...
 1.4.59: If f(x) = a ln(x + 2), what is the effect of increasing a on the ve...
 1.4.60: f g(x) = ln(ax + 2), where a = 0, what is the effect of increasing ...
 1.4.61: The function log x is odd.
 1.4.62: For all x > 0, the value of ln(100x) is 100 times larger than ln x.
 1.4.63: In 6364, give an example of:
 1.4.64: In 6364, give an example of:
 1.4.65: Are the statements in 6568 true or false? Give an explanation for y...
 1.4.66: Are the statements in 6568 true or false? Give an explanation for y...
 1.4.67: Are the statements in 6568 true or false? Give an explanation for y...
 1.4.68: Are the statements in 6568 true or false? Give an explanation for y...
Solutions for Chapter 1.4: LOGARITHMIC FUNCTIONS
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 1.4: LOGARITHMIC FUNCTIONS
Get Full SolutionsCalculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Chapter 1.4: LOGARITHMIC FUNCTIONS includes 68 full stepbystep solutions. Since 68 problems in chapter 1.4: LOGARITHMIC FUNCTIONS have been answered, more than 33453 students have viewed full stepbystep solutions from this chapter.

Additive identity for the complex numbers
0 + 0i is the complex number zero

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Focus, foci
See Ellipse, Hyperbola, Parabola.

Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s  a21s  b21s  c2.

Inverse properties
a + 1a2 = 0, a # 1a

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Periodic function
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

Proportional
See Power function

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Radius
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

Solve by substitution
Method for solving systems of linear equations.

yintercept
A point that lies on both the graph and the yaxis.

Zoom out
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).