Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.2 - Logarithmic Functions and Their Graphs - 5.2 Exercises - Page 378: 18



Work Step by Step

We know that in the expression $log_b(a)=c$, b is the base of the exponential equation, a is what the exponential equation is equal to, and c is the exponent itself. Knowing this, we find: $$10^x=10 \\ x=1$$ (Note, if the base of the log is not indicated, it is assumed to be 10).
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