Question

Topic: Solving Exponential and Logarithmic Equations

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Solve 3* = 42. Round to the nearest hundredth.

Answer 1

`x = 3.40`

Explanation:

Given

`3^x = 42`

Required

Find x

`3^x = 42`

Take Log of both sides

`Log\ 3^x = Log\ 42`

Apply log rule

`xLog\ 3 = Log\ 42`

Make x the subject

`x = (Log\ 42)/(Log\ 3)`

`x = (1.6232)/(0.4771)`

`x = 3.4022`

`x = 3.40` --- approximated