Answer:
x ≈ 1.57
Step-by-step explanation:
First, note that 7^2 equals 7 * 7 = 49. Now, we have:
49 = [tex]12^x[/tex]
In order to solve for x, we need to use logarithm, which basically "gets rid of" the exponent. What we need to do is take the [tex]log_{12}[/tex] of each side. Notice that the base of the logarithm is 12. This is because we want to cancel out the exponent base of 12 on the right side:
[tex]log_{12}49=log_{12}12^x[/tex]
[tex]log_{12}49=x[/tex]
So, x ≈ 1.57.
Hope this helps!
