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Solve each equation. See Examples 2 and 3.$$x=\log _{125} 5$$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 3
Logarithmic Functions
Functions
Exponential and Logarithmic Functions
Missouri State University
University of Michigan - Ann Arbor
Lectures
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Okay, so we want to solve the following equation. So let's start by re reading this in exponential form. So this is 125 to the power of X is equitable. Now let's recall that 125 is 52 par three x eight people to five to the power of one. But we have the same base. So our powers must be equal. That is three X most people to want one, which means that X is equal to 1/3.
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