Answer:
x = 1.2439
Step-by-step explanation:
The equation given is:
[tex]12^{x} - 2 = 20[/tex]
Simplifying this, we have:
[tex]12^x = 20 + 2\\\\\\12^x = 22[/tex]
To solve this, we have to convert it from index form to logarithmic form:
[tex]log_{12}22 = x[/tex]
Using one of the laws of logarithm, we have that:
[tex]\frac{log_{10}22}{log_{10}12} = x[/tex]
This will give us:
[tex]\frac{1.3424}{1.0792} = x\\\\\\1.2439 = x[/tex]
=> x = 1.2439
