Question

Solve the problem down belowSimplify your answer and rounded to the nearest thousandth

Answer 1

We need to solve the following equation:

$e^{0.006x}=26$

First, set both sides ln:

$\ln e^{0.006x}=26$

We can down the exponents and simplify lne=1 :

$0.006x=\ln26$

Now, divide both sides by 0.006:

$\frac{0.006x}{0.006}=\frac{\ln26}{0.006}$

Simplify:

$x=\frac{\ln(26)}{0.006}$$x=543.02$

Hence, the answer is x=543.02 (The answer is rounded to the nearest thousandth)