Question

question
solve for ( x ), rounding to the nearest hundredth.
( 3^{3x} = 94 )

Explanation:

Step1: Take log of both sides

$\log(3^{3x}) = \log(94)$

Step2: Apply log power rule

$3x \cdot \log(3) = \log(94)$

Step3: Isolate $3x$

$3x = \frac{\log(94)}{\log(3)}$

Step4: Calculate right-hand side

$3x \approx \frac{1.9731}{0.4771} \approx 4.1356$

Step5: Solve for $x$

$x \approx \frac{4.1356}{3}$

Answer:

$x \approx 1.38$