Question

4ln x -8=12 its giving me other equations

Answer 1

The solution of the given logarithmic equation is x = 28.1

How to solve the logarithmic equation?

Here we have the logarithmic equation:

4*ln(x - 8) = 12

And we want to solve this for x.

Remember the relations:

$ln(e^x) = x\\e^{ln(x)} = x$

First, we divide both sides by 4:

$ln(x - 8) = 12/4 = 3$

Then, if we apply the exponential equation to both sides of our equation, we get:

$e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1$

If you want to learn more about logarithmic equations:

https://brainly.com/question/236421

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