Math & Physics Problems Wikia
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Problem

Log-log.jpg

Part 1: Use logarithms to transform the power function

into the linear function

.

Part 2: Transform the linear function into a power function. Assume base 10 log.

Solution

Part 1

Take the logarithm of both sides.

Let , , and . Then the final result becomes

.

Part 2

Here and . Since the logarithm is base 10 in this problem . Therefore,

or

.
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