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Using Properties of Logarithms

Using Properties of Logarithms 1.6 - Solution

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a
To evaluate the common logarithm of a number can be seen as finding what exponent the number must be raised to in order to get that number. Here, we take the logarithm of the number We already know that we raise to to get that number. Therefore, we can evaluate the logarithm immediately.
b

What exponent do we raise to the power of in order to get We need to write as a power of ten. We start by writing it as a fraction, which we then can rewrite to a power of ten.

c
Here we will rewrite as a power of ten, and then do as in the previous sub-exercises.