Solving exponential function for X using log/exponent properties

e^x = squareroot(7^ex -12)

Please do it step by step. I'm working my way through a practice exam and there are a lot of these questions. I'd like to be walked through this one so I can do the others by myself.

Thanks!

if you meant
e^x = sqrt(7^(ex - 12))
then
e^(2x) = 7^(ex - 12)
ln(e^(2x)) = ln(7^(ex - 12))
2xln(e) = (ex - 12)ln(7) ← power rule
2x = ex ln(7) - 12 ln(7) ← disributive property
12 ln(7) = ex ln(7) - 2x
12 ln(7) = x(e ln(7) - 2) ← disributive property
12 ln(7) / (e ln(7) - 2) = x
or
x ≈ 7.0986

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