How do you solve lnsqrt(x-8)=5?

1 Answer
Feb 18, 2017

x=e^10+8

Explanation:

Exponentiate both sides of the equation:

e^(ln(sqrt(x-8))) = e^5

Use the logarithmic rule e^ln(x) = x to simplify:

sqrt(x-8) = e^5

Solve for x by squaring both sides:

x-8 = (e^5)^2 = e^10

Simplify: x = e^10+8