Solve. Round your answer to the nearest thousandth. 7^x = 9 x = ____

Take Logarithm: 7^x = 9 Take the logarithm of both sides to solve for x. Apply the logarithm to both sides of the equation. log(7^x) = log(9)Apply Power Property: log(7^x) = log(9) Use the power property of logarithms to bring the exponent x in front of the log. Power Property: log_b(M^n) = n * log_b(M) x * log(7) = log(9)Isolate x: x * log(7) = log(9) Isolate x by dividing both sides of the equation by log(7). x = log(9) / log(7)Calculate x: Calculate the value of x using a calculator. x = log(9) / log(7) x ≈ 1.129150 / 0.845098 x ≈ 1.336

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Solve. Round your answer to the nearest thousandth. $\newline$ $7^x = 9$ $\newline$ $x =$ ____

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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

7^x = 9

\newline

x =

____

Take Logarithm: $7^x = 9$ $\newline$ Take the logarithm of both sides to solve for $x$ . $\newline$ Apply the logarithm to both sides of the equation. $\newline$ $\log(7^x) = \log(9)$
Apply Power Property: $\log(7^x) = \log(9)$ $\newline$ Use the power property of logarithms to bring the exponent $x$ in front of the log. $\newline$ Power Property: $\log_b(M^n) = n \cdot \log_b(M)$ $\newline$ $x \cdot \log(7) = \log(9)$
Isolate $x$ : $x \cdot \log(7) = \log(9)$ $\newline$ Isolate $x$ by dividing both sides of the equation by $\log(7)$ . $\newline$ $x = \frac{\log(9)}{\log(7)}$
Calculate x: Calculate the value of x using a calculator. $\newline$ $x = \frac{\log(9)}{\log(7)}$ $\newline$ $x \approx \frac{1.129150}{0.845098}$ $\newline$ $x \approx 1.336$