Answer
$3$
Work Step by Step
$log_23\cdot log_34\cdot log_45\cdot log_56\cdot log_67\cdot log_78=\frac{ln3}{ln2}\times\frac{ln4}{ln3}\times\frac{ln5}{ln4}\times\frac{ln6}{ln5}\times\frac{ln7}{ln6}\times\frac{ln8}{ln7}=\frac{ln8}{ln2}=3$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 332: 97
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