Solve for \( x \) : \( 5^{x}=44 \) \( x=\square \) You may enter the exact value or round to 4 decimal places.

To solve for \( x \) in the equation \( 5^{x} = 44 \), you can take the logarithm of both sides. Using the logarithm base 10, the equation becomes: \[ x \cdot \log(5) = \log(44) \] Now, you can isolate \( x \): \[ x = \frac{\log(44)}{\log(5)} \] Using a calculator to find the logarithmic values: \[ \log(44) \approx 1.643 \quad \text{and} \quad \log(5) \approx 0.699 \] Now, divide these values: \[ x \approx \frac{1.643}{0.699} \approx 2.352 \] So, rounding to four decimal places, the solution is: \( x \approx 2.3520 \)