6. Exponential & Logarithmic Functions

Given that log₁₀ 2 ≈ 0.3010 and log₁₀ 3 ≈ 0.4771, find each logarithm without using a calculator. log₁₀ 9/4

Evaluate or simplify each expression without using a calculator. 10^{log √x}

Given that log₁₀ 2 ≈ 0.3010 and log₁₀ 3 ≈ 0.4771, find each logarithm without using a calculator. log₁₀ √30

Evaluate or simplify each expression without using a calculator. 10^{log ∛x}

Write each equation in its equivalent exponential form. Then solve for x. log₃ (x-1) = 2

Use properties of logarithms to rewrite each function, then graph. ƒ(x) = log₃ (x+1)/9

In Exercises 101–104, write each equation in its equivalent exponential form. Then solve for x. log₄x=-3

In Exercises 105–108, evaluate each expression without using a calculator. log₅ (log₇ 7)

In Exercises 105–108, evaluate each expression without using a calculator. log₅ (log₂ 32)

In Exercises 105–108, evaluate each expression without using a calculator. log₂ (log₃ 81)

In Exercises 105–108, evaluate each expression without using a calculator. log (ln e)

In Exercises 109–112, find the domain of each logarithmic function. f(x) = ln (x² - x − 2)

In Exercises 109–112, find the domain of each logarithmic function. f(x) = log[(x+1)/(x-5)]

Without using a calculator, find the exact value of: [log₃ 81 - log_𝝅 1]/[log_2√2 8 - log 0.001]

Without using a calculator, find the exact value of log₄ [log₃ (log₂ 8)].