Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises - Page 36: 55



Work Step by Step

$3^{3x-4}=15$ Apply $\log$ to both sides of the equation: $\log3^{3x-4}=\log15$ Take the exponent on the left side of the equation down to multiply in front of its respective $\log$: $(3x-4)\log3=\log15$ Take $\log3$ to divide the right side: $3x-4=\dfrac{\log15}{\log3}$ Take $4$ to the right side: $3x=4+\dfrac{\log15}{\log3}$ Take $3$ to divide the right side: $x=\dfrac{4}{3}+\dfrac{\log15}{3\log3}\approx2.15$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.