6. Exponential & Logarithmic Functions

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. g(x) = ln (x+2)

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)

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. g(x) = 2 ln x

Find the domain of each logarithmic function. f(x) = log₅(x+4)

Find the domain of each logarithmic function. f(x) = log (2 - x)

Find the domain of each logarithmic function. f(x) = ln (x-2)²

Evaluate or simplify each expression without using a calculator. log 100

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