Calculate logarithm to isolate x: Calculate the logarithm of both sides to isolate x. Using log base 10, log(9^x) = log(333). Using the power rule of logarithms, x * log(9) = log(333).Calculate logs using calculator: Calculate log(9) and log(333) using a calculator. log(9) ≈ 0.9542, log(333) ≈ 2.5224.Solve for x by dividing logs: Solve for x by dividing the logs. x = log(333) / log(9). x ≈ 2.5224 / 0.9542 ≈ 2.64.

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$9^x=333$ $\newline$ Find $x$ .

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Math Problems

Grade 7

Solve equations with variable exponents

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9^x=333

\newline

Find

x

Calculate logarithm to isolate $x$ : Calculate the logarithm of both sides to isolate $x$ . Using log base $10$ , $\log(9^x) = \log(333)$ . Using the power rule of logarithms, $x \cdot \log(9) = \log(333)$ .
Calculate logs using calculator: Calculate $\log(9)$ and $\log(333)$ using a calculator. $\newline$ $\log(9) \approx 0.9542$ , $\log(333) \approx 2.5224$ .
Solve for x by dividing logs: Solve for x by dividing the logs. $\newline$ $x = \frac{\log(333)}{\log(9)}$ . $\newline$ $x \approx \frac{2.5224}{0.9542} \approx 2.64$ .