Question

Solve 3^x = 42. Round to the nearest hundredth.

Answer 1

Answer:

x = 3.40 ( to the nearest hundredth)

Explanations:

The given equation is:

`3^x=\text{ 42}`

Take the logarithm to base 10 of both sides.

The equation becomes:

`\begin{gathered} \log 3^x=\text{ log 42} \\ x\text{ log 3 = log 42} \\ x\text{ = }\frac{\log \text{ 42}}{\log \text{ 3}} \\ x\text{ = }(1.623)/(0.477) \\ x\text{ = }3.40 \end{gathered}`