Solve for x, given that : e^(3x)=12.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

You have provided the equation e^(3x) = 12, and we have to solve this for x.

We first take the log to the base e for both the sides.

=> ln e^(3x) = ln 12

use the exponent rule for algorithm which states that log a^b = b*log a.

=> 3x ln e = ln 12

ln e = 1

=> 3x = ln 12

=> x = (ln 12)/3

=> x = 2.484 / 3

=> x = .8283

Therefore x is equal to (ln 12)/ 3 or 0.8283.

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial