Question

solving exponential equations using logarithms:
solve for x
$6^x = 80$
1.9031
4.3820
2.4457
5.0321

Explanation:

Step1: Take log of both sides

$\log(6^x) = \log(80)$

Step2: Apply log power rule

$x\log(6) = \log(80)$

Step3: Isolate x

$x = \frac{\log(80)}{\log(6)}$

Step4: Calculate the value

$x = \frac{1.9031}{0.7782} \approx 2.4457$

Answer:

2.4457 (corresponding to the orange option)