Answer
$\frac{ln7}{ln7+ln\frac{3}{5}}\approx1.356$
Work Step by Step
Take logarithm on both sides to get $(x)ln\frac{3}{5}=(1-x)ln7 \longrightarrow (ln7+ln\frac{3}{5})x=ln7 \longrightarrow x=\frac{ln7}{ln7+ln\frac{3}{5}}\approx1.356$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.6 Logarithmic and Exponential Equations - 5.6 Assess Your Understanding - Page 311: 51
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