Solve. Round your answer to the nearest thousandth. 2^x = 9 x = ____

Apply Logarithm: 2^x = 9 Apply the logarithm to both sides of the equation to solve for x. log(2^x) = log(9)Power Property: log(2^x) = log(9) Use the power property of logarithms to bring the exponent x in front of the log. x * log(2) = log(9)Isolate x: x * log(2) = log(9) Isolate x by dividing both sides of the equation by log(2). x = log(9) / log(2)Calculate x: Calculate the value of x using a calculator. x = log(9) / log(2) x ≈ 3.169925001442312 / 0.6931471805599453 x ≈ 4.574

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Solve. Round your answer to the nearest thousandth. $\newline$ $2^x = 9$ $\newline$ $x =$ ____

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Algebra 2

Solve exponential equations using common logarithms

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Q. Solve. Round your answer to the nearest thousandth.

\newline

2^x = 9

\newline

x =

____

Apply Logarithm: $2^x = 9$ $\newline$ Apply the logarithm to both sides of the equation to solve for $x$ . $\newline$ $ext{log}(2^x) = ext{log}(9)$
Power Property: $\log(2^x) = \log(9)$ $\newline$ Use the power property of logarithms to bring the exponent $x$ in front of the log. $\newline$ $x \cdot \log(2) = \log(9)$
Isolate $x$ : $x \cdot \log(2) = \log(9)$ $\newline$ Isolate $x$ by dividing both sides of the equation by $\log(2)$ . $\newline$ $x = \frac{\log(9)}{\log(2)}$
Calculate x: Calculate the value of x using a calculator. $\newline$ $x = \frac{\log(9)}{\log(2)}$ $\newline$ $x \approx \frac{3.169925001442312}{0.6931471805599453}$ $\newline$ $x \approx 4.574$