College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 423: 35

Answer

$5$

Work Step by Step

Rewrite the equation using the definition of logarithm. $x^{(3x-15)}=1$ Set the power equal to 0 because $x^0=1$ when $x\ne0$. Also, do not forget that $x\gt0$ and $x\ne1$. If $x$ does not match both of these criteria, the result of $\log_x$ would be undefined. $3x-15=0$ Simplify. $x=5$
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