Question

What is the value of xif e3x+6 - 8?

Answer 1

The value of x from the expression is $\frac{ln8-8}{3}$

Given the exponential function $e^{3x+8}=8$

Take the natural logarithm of both sides:

$lne^{3x+8}=ln8\\3x +8=ln8$

Subtract 8 from both sides:

$3x-8+8=ln8-8\\3x=ln8-8$

Divide both sides by 3:

$\frac{3x}{3} =\frac{ln8-8}{3}\\x= \frac{ln8-8}{3}$

Hence the value of x from the expression is $\frac{ln8-8}{3}$

Learn more on exponential functions here: brainly.com/question/12940982