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6.5 Exercise 70

Avg difficulty 2.5

Suppose $\log_{5} \left(6\right) = a$ and $\log_{5} \left(11\right) = b .$ Use the change-of-base formula along with properties of logarithms to rewrite each expression in terms of $a$ and $b .$ Show the steps for solving.

$\log_{11} \left(5\right)$

OpenStax Algebra and Trigonometry 2e, 6.5 Logarithmic Properties, exercise 70

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.