 0.5.1: The function y = 12x has domain and range.
 0.5.2: The function y = ln(1 x) has domain and range.
 0.5.3: Express as a power of 4:(a) 1 (b) 2 (c) 116 (d) 8 (e) 5.
 0.5.4: Solve each equation for x.(a) ex = 12 (b) 103x = 1,000,000(c) 7e3x ...
 0.5.5: Solve each equation for x.(a) ln x = 3 (b) log(x 1) = 2(c) 2 log x ...
 0.5.6: 56 Find the exact value of the expression without using a calculati...
 0.5.7: 78 Use a calculating utility to approximate the expression. Round y...
 0.5.8: 78 Use a calculating utility to approximate the expression. Round y...
 0.5.9: 910 Use the logarithm properties in Theorem 0.5.2 to rewrite the ex...
 0.5.10: 910 Use the logarithm properties in Theorem 0.5.2 to rewrite the ex...
 0.5.11: 1112 Expand the logarithm in terms of sums, differences, and multip...
 0.5.12: 1112 Expand the logarithm in terms of sums, differences, and multip...
 0.5.13: 1315 Rewrite the expression as a single logarithm. 4 log 2 log 3 + ...
 0.5.14: 1315 Rewrite the expression as a single logarithm. 12 log x 3 log(s...
 0.5.15: 1315 Rewrite the expression as a single logarithm. 2 ln(x + 1) + 13...
 0.5.16: 1623 Solve for x without using a calculating utility. log10(1 + x) = 3
 0.5.17: 1623 Solve for x without using a calculating utility. . log10(x ) = 1
 0.5.18: 1623 Solve for x without using a calculating utility. ln(x2) = 4
 0.5.19: 1623 Solve for x without using a calculating utility. ln(1/x) = 2
 0.5.20: 1623 Solve for x without using a calculating utility. log3(3x ) = 7
 0.5.21: 1623 Solve for x without using a calculating utility. log5(52x ) = 8
 0.5.22: 1623 Solve for x without using a calculating utility. ln 4x 3 ln(x2...
 0.5.23: 1623 Solve for x without using a calculating utility. ln(1/x) + ln(...
 0.5.24: 2429 Solve for x without using a calculating utility. Use the natur...
 0.5.25: 2429 Solve for x without using a calculating utility. Use the natur...
 0.5.26: 2429 Solve for x without using a calculating utility. Use the natur...
 0.5.27: 2429 Solve for x without using a calculating utility. Use the natur...
 0.5.28: 2429 Solve for x without using a calculating utility. Use the natur...
 0.5.29: 2429 Solve for x without using a calculating utility. Use the natur...
 0.5.30: Solve e2x 3ex = 2 for x without using a calculatingutility. [Hint: ...
 0.5.31: 3134 In each part, identify the domain and range of the function, a...
 0.5.32: 3134 In each part, identify the domain and range of the function, a...
 0.5.33: 3134 In each part, identify the domain and range of the function, a...
 0.5.34: 3134 In each part, identify the domain and range of the function, a...
 0.5.35: 3538 TrueFalse Determine whether the statement is true or false. Ex...
 0.5.36: 3538 TrueFalse Determine whether the statement is true or false. Ex...
 0.5.37: 3538 TrueFalse Determine whether the statement is true or false. Ex...
 0.5.38: 3538 TrueFalse Determine whether the statement is true or false. Ex...
 0.5.39: Use a calculating utility and the change of base formula (6)to find...
 0.5.40: 4041 Graph the functions on the same screen of a graphing utility. ...
 0.5.41: 4041 Graph the functions on the same screen of a graphing utility. ...
 0.5.42: (a) Derive the general change of base formulalogb x = loga xloga b(...
 0.5.43: Use a graphing utility to estimate the two points of intersectionof...
 0.5.44: Use a graphing utility to estimate the two points of intersectionof...
 0.5.45: (a) Is the curve in the accompanying figure the graph ofan exponent...
 0.5.46: (a) Make a conjecture about the general shape of thegraph of y = lo...
 0.5.47: Find the fallacy in the following proof that 18 > 14 .Multiply both...
 0.5.48: Prove the four algebraic properties of logarithms in Theorem 0.5.2.
 0.5.49: If equipment in the satellite of Example 3 requires 15 wattsto oper...
 0.5.50: The equation Q = 12e0.055t gives the mass Q in grams ofradioactive ...
 0.5.51: The acidity of a substance is measured by its pH value,which is def...
 0.5.52: Use the definition of pH in Exercise 51 to find [H +] in asolution ...
 0.5.53: . The perceived loudness of a sound in decibels (dB) is relatedto i...
 0.5.54: 5456 Use the definition of the decibel level of a sound (see Exerci...
 0.5.55: 5456 Use the definition of the decibel level of a sound (see Exerci...
 0.5.56: 5456 Use the definition of the decibel level of a sound (see Exerci...
 0.5.57: On the Richter scale, the magnitude M of an earthquake isrelated to...
 0.5.58: Suppose that the magnitudes of two earthquakes differ by1 on the Ri...
Solutions for Chapter 0.5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Solutions for Chapter 0.5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Get Full SolutionsCalculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 58 problems in chapter 0.5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS have been answered, more than 42114 students have viewed full stepbystep solutions from this chapter. Chapter 0.5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS includes 58 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

Annual percentage rate (APR)
The annual interest rate

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Directed line segment
See Arrow.

Doubleangle identity
An identity involving a trigonometric function of 2u

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

First quartile
See Quartile.

Inequality
A statement that compares two quantities using an inequality symbol

Instantaneous rate of change
See Derivative at x = a.

Inverse sine function
The function y = sin1 x

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

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.

Polar equation
An equation in r and ?.

Range (in statistics)
The difference between the greatest and least values in a data set.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

Vertical stretch or shrink
See Stretch, Shrink.

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