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Using Properties of Logarithms

Using Properties of Logarithms 1.9 - Solution

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a

We could solve this exercise in two ways. Either, start with calculating which equals the number we should raise to in order to get Therefore, is equal to which is We could also use the inverse properties of logarithms. They say that that a power and a logarithm with the same base undo each other, or We then immediately see that

b

In order to get the number we raise to the power. But what do we actually get if you raise to that? Well, we get

c

It doesn't matter that there is a decimal number in the logarithm. The same rule applies.