Question

solve. round your answer to the nearest thousandth.
$6^x = 7$
$x = \square$
submit

Explanation:

Step1: Take log of both sides

$\log(6^x) = \log(7)$

Step2: Apply logarithm power rule

$x\log(6) = \log(7)$

Step3: Isolate x

$x = \frac{\log(7)}{\log(6)}$

Step4: Calculate and round

$x \approx \frac{0.845098}{0.778151} \approx 1.086$

Answer:

1.086