Question

What is the solution to the equation below? Round your answer to two decimal places

5 • 9^x= 12.48

Answer 1

The answer to your question is x = 0.42

Explanation:

Equation

(5)9
`.^(x)` = 12.48

Process

1.- Divide by 5 both sides

(5)9
`.^(x)`/5 = 12.48/ 5

2.- Simplify

9
`.^(x)` = 2.496

3.- Get log in both sides

x log 9 = log 2.496

4.- Divide by log 9 both sides

x log 9/ log 9 = log 2.496/log 9

5.- Simplify

x = log 2.496 / log 9

x = 0.397/0.954

6.- Result

x = 0.42