What is the solution to the equation below? Round your answer to two decimal places. 5^x=9.2

Answer: 1.38=x
Step-by-step explanation:
Since the x is in the exponent place, we must use log to solve this problem.
Changing this equation from exponential to logarithmic is easy, just use this example:
Exponential: [tex]a^b=c[/tex]
Logarithmic: [tex]log_{a}c=b[/tex]
Let 5=a, x=b, and 9.2=c
Exponential: [tex]5^x=9.2[/tex]
Logarithmic: [tex]log_{5} 9.2=x[/tex]
Now simply use a calculator to solve for the log to find x
[tex]1.37886=x[/tex]