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Using Properties of Logarithms

Using Properties of Logarithms 1.14 - Solution

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a

Ron-Jon commits an error when he simplifies the expression to since they are not equivalent. He has raised to instead of raised to the power of. This cannot be simplified to but just means to take the multiplied by itself times.

b

In order to get alone, he should have used that the common logarithm and a power with the base undo each other. This is a rule also known as an inverse property of logarithms. Now, let's solve it correctly!