6. Exponential & Logarithmic Functions

Evaluate or simplify each expression without using a calculator. log 10⁷

Evaluate or simplify each expression without using a calculator. 10^{log 33}

Evaluate or simplify each expression without using a calculator. In 1

Evaluate or simplify each expression without using a calculator. In e

Evaluate or simplify each expression without using a calculator. In e⁶

Evaluate or simplify each expression without using a calculator. In (1/e⁶)

Evaluate or simplify each expression without using a calculator. e^{ln 125}

Evaluate or simplify each expression without using a calculator. In e^9x

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