Solve. Round your answer to the nearest thousandth. 8 = 3^x x = ____

Apply Logarithm: 8 = 3^x Apply the logarithm to both sides of the equation to solve for x. log(8) = log(3^x)Use Power Property: log(8) = log(3^x) Use the power property of logarithms to bring the exponent x in front of the log. log(8) = x * log(3)Isolate x: log(8) = x * log(3) Isolate x by dividing both sides of the equation by log(3). x = log(8) / log(3)Calculate x: Calculate the value of x using a calculator. x = log(8) / log(3) x ≈ 1.8927892607143722...Round to Nearest: Round the value of x to the nearest thousandth. x ≈ 1.893

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Solve. Round your answer to the nearest thousandth. $\newline$ $8 = 3^x$ $\newline$ $x =$ ____

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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

8 = 3^x

\newline

x =

____

Apply Logarithm: $8 = 3^x$ $\newline$ Apply the logarithm to both sides of the equation to solve for $x$ . $\newline$ $log(8) = log(3^x)$
Use Power Property: $\log(8) = \log(3^x)$ $\newline$ Use the power property of logarithms to bring the exponent $x$ in front of the log. $\newline$ $\log(8) = x \cdot \log(3)$
Isolate $x$ : $\log(8) = x \cdot \log(3)$ $\newline$ Isolate $x$ by dividing both sides of the equation by $\log(3)$ . $\newline$ $x = \frac{\log(8)}{\log(3)}$
Calculate x: Calculate the value of x using a calculator. $\newline$ $x = \frac{\log(8)}{\log(3)}$ $\newline$ $x \approx 1.8927892607143722\ldots$
Round to Nearest: Round the value of $x$ to the nearest thousandth. $x \approx 1.893$