91Ó°ÊÓ

Determine whether common logarithms or natural logarithms would be a better choice to use for solving each equation. Do not actually solve. $$ 10^{0.0025 x}=75 $$

Determine whether common logarithms or natural logarithms would be a better choice to use for solving each equation. Do not actually solve. $$ 10^{3 x+1}=13 $$

Determine whether common logarithms or natural logarithms would be a better choice to use for solving each equation. Do not actually solve. $$ e^{-0.28 x}=30 $$

Choose the correct response. Which statement is false? A. The domain of the function \(f(x)=\left(\frac{1}{4}\right)^{x}\) is \((-\infty, \infty)\). B. The graph of the function \(f(x)=\left(\frac{1}{4}\right)^{x}\) has one \(x\) -intercept. C. The range of the function \(f(x)=\left(\frac{1}{4}\right)^{x}\) is \((0, \infty)\) D. The point (-2,16) lies on the graph of \(f(x)=\left(\frac{1}{4}\right)^{x}\).

Give the value of each expression. $$ e^{\ln 75.2} $$

Write in logarithmic form. $$\sqrt[4]{625}=5$$

Evaluate each logarithm to four decimal places. $$ \log 328.4 $$

Use a calculator to approximate each exponential expression to three decimal places. $$ 6^{1 / 5} $$

Write in logarithmic form. $$5^{0}=1$$

Solve each equation. Approximate solutions to three decimal places. $$ 4^{x-2}=5^{3 x+2} $$