Question

Topic: Solving Exponential and Logarithmic Equations
Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
Solve 3* = 42. Round to the nearest hundredth.

Answer 1

Answer:

$x = 3.40$

Step-by-step 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

$x = \frac{Log\ 42}{Log\ 3}$

$x = \frac{1.6232}{0.4771}$

$x = 3.4022$

$x = 3.40$ --- approximated