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