6. Exponential & Logarithmic Functions

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

Evaluate each expression without using a calculator. log₄ 1

Solve each equation. log₉ x = 5/2

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

Graph each function. Give the domain and range. ƒ(x) = | log_1/2 (x-2) |

Evaluate each expression without using a calculator. log₂ (1/√2)

Solve each equation. log_x 25 = -2

Evaluate each expression without using a calculator. $8^{\(\log\)_8 19}$

The figure shows the graph of f(x) = ln x. In Exercises 65–74, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. h(x) = ln(x/2)

Solve each equation. log_1/3 (x+6) = -2

Evaluate each expression without using a calculator. log₇ √7

In Exercises 16–18, write each equation in its equivalent logarithmic form. 13^y = 874

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

Write each equation in its equivalent exponential form. 4 = log₂ 16

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