Problem 41
Solve each equation. Give solutions in exact form. 5 ln x = 10
Problem 41
Solve each equation. 3x - 15 = logx 1 (x>0, x≠1)
Problem 43
Solve each equation. Give solutions in exact form. ln 4x = 1.5
Problem 43
Use the definition of inverses to determine whether ƒ and g are inverses. f(x) = 2/(x+6), g(x) = (6x+2)/x
Problem 43
Match the function with its graph from choices A–F. ƒ(x) = log2 x
Problem 43a
Solve each problem. Use a calculator to find an approximation for each logarithm. log 398.4
Problem 43c
Solve each problem. Use a calculator to find an approximation for each logarithm. log 3.984
Problem 45
Solve each equation. Give solutions in exact form. log(2 - x) = 0.5
Problem 45
Use the definition of inverses to determine whether ƒ and g are inverses. f(x) = x2+3, x≥0; g(x) = √x-3, x≥3
Problem 45
Find each value. If applicable, give an approximation to four decimal places. ln e1.6
Problem 47
Solve each equation. Give solutions in exact form. log6 (2x + 4) = 2
Problem 47
Graph each function. Give the domain and range.
Problem 47
Find each value. If applicable, give an approximation to four decimal places. ln 1/e2
Problem 47
Determine whether the given functions are inverses.
Problem 48
Graph each function. Give the domain and range. See Example 3. ƒ(x) = 2x+3 +1
Problem 49
Graph each function. Give the domain and range. ƒ(x) = 2x+2 - 4
Problem 49
Determine whether the given functions are inverses. ƒ= {(2,5), (3,5), (4,5)}; g = {(5,2)}
Problem 49
Solve each equation. Give solutions in exact form. log4 (x3 + 37) = 3
Problem 49
Find each value. If applicable, give an approximation to four decimal places. ln √e
Problem 50
Graph each function. ƒ(x) = log10 x
Problem 51
Solve each equation. Give solutions in exact form. ln x + ln x2 = 3
Problem 51
Graph each function. Give the domain and range. See Example 3. ƒ(x) = (1/3)x - 2
Problem 51
Find each value. If applicable, give an approximation to four decimal places. ln 28
Problem 52
Find the inverse of each function that is one-to-one. {(3,-1), (5,0), (0,5), (4, 2/3)}
Problem 52
Graph each function. ƒ(x) = log6 (x-2)
Problem 53
Solve each equation. Give solutions in exact form. log3 [(x + 5)(x - 3)] = 2
Problem 53
Graph each function. Give the domain and range. ƒ(x) = (1/3)x+2
Problem 53
Find each value. If applicable, give an approximation to four decimal places. ln 0.00013
Problem 53
Find the inverse of each function that is one-to-one. {(1, -3), (2, -7), (4, -3), (5, -5)}
Problem 55
Determine whether each pair of functions graphed are inverses.
Ch. 4 - Inverse, Exponential, and Logarithmic Functions
