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:

`(0.006x)/(0.006)=(\ln26)/(0.006)`

Simplify:

`x=(\ln(26))/(0.006)`
`x=543.02`

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