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Using Properties of Logarithms

Using Properties of Logarithms 1.7 - 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 Let's use that we raise to to get the number
b

Here we can use the rule we used in Part A directly since the is already written as a power with the base

c

What should you raise to the power of in order for it to equal Any number, except the number raised to the power equals That means can be written as

d

To calculate we will rewrite the argument as a power of ten, and then use the same method as previously.