Solve. Round your answer to the nearest thousandth. 9 = 8^x x = ____

Apply Logarithm: 9 = 8^x Apply the logarithm to both sides of the equation to solve for x. log(9) = log(8^x)Use Power Property: log(9) = log(8^x) Use the power property of logarithms to bring the exponent x in front of the log. log(9) = x * log(8)Isolate x: log(9) = x * log(8) Isolate x by dividing both sides of the equation by log(8). x = log(9) / log(8)Calculate x: Calculate the value of x using a calculator. x = log(9) / log(8) x ≈ 1.00043407747932 Round the answer to the nearest thousandth. x ≈ 1.000

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Solve. Round your answer to the nearest thousandth. $\newline$ $9 = 8^x$ $\newline$ $x =$ ____

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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

9 = 8^x

\newline

x =

____

Apply Logarithm: $9 = 8^x$ $\newline$ Apply the logarithm to both sides of the equation to solve for $x$ . $\newline$ $ext{log}(9) = ext{log}(8^x)$
Use Power Property: $\log(9) = \log(8^x)$ $\newline$ Use the power property of logarithms to bring the exponent $x$ in front of the log. $\newline$ $\log(9) = x \cdot \log(8)$
Isolate $x$ : $\log(9) = x \cdot \log(8)$ $\newline$ Isolate $x$ by dividing both sides of the equation by $\log(8)$ . $\newline$ $x = \frac{\log(9)}{\log(8)}$
Calculate $x$ : Calculate the value of $x$ using a calculator. $x = \frac{\log(9)}{\log(8)}$ $x \approx 1.00043407747932$ Round the answer to the nearest thousandth. $x \approx 1.000$