Question

Solve for x in the equation below.

Round your answer to the nearest hundredth.
Do not round any intermediate computations.

Answer 1

Get natural log on both sides and subtract 8 to subject the unknown x.

Explanation:

• Since this seems to be a quiz-type question I cannot provide a direct answer.
• But I may help you to get it on your own with some effort from your side.
• You may follow these steps. I hope you have a calculator to simplify the terms.

`\begin{aligned}\\e^(x+8) &= 15\\\\ln(e^(x+8)) &=\small ln(15)\\\\(x+8) ln(e)&=\small ln(15)\\\\x+8&=\small ln(15) \cdots\cdots\cdots[ ln(e) = 1]\\\\x&=\small ln(15) -8\end{aligned}`

• Let me know the answer.

Answer 2

x = -5.29

Explanation:

e^(x+8) = 15

==> take log of both sides

log(e) * (x+8) = log(15)

==> divide both sides by log e (log(15)/log(e) = 2.70805)

x + 8 = 2.70805

==> subtract both sides by 8

x = -5.29 (rounded to the nearest tenth)