6. Exponential & Logarithmic Functions

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_8 0.59

Expand: log8((4√x)/(64y3))

In Exercises 81–100, evaluate or simplify each expression without using a calculator. log 10^7

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. . log_1/2 3

In Exercises 83–88, let logb 2 = A and logb 3 = C and Write each expression in terms of A and C.logb (3/2)

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_π e

In Exercises 83–88, let logb 2 = A and logb 3 = C and Write each expression in terms of A and C.logb 8

In Exercises 83–88, let logb 2 = A and logb 3 = C and Write each expression in terms of A and C.logb √(2/27)

Solve: log₂ (x+9) — log₂ x = 1.

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_√13 12

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_√19 5

Let u = ln a and v = ln b. Write each expression in terms of u and v without using the ln function. ln (b^4√a)

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement.log4 (2x^3) = 3 log4 (2x)

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement.ln(8x^3) = 3 ln (2x)

Given that log￬10 2 ≈ 0.3010 and log￬10 3 ≈ 0.4771, find each logarithm without using a calculator. log￬10 6