Write the number as both a power of 10 and a logarithm which has the base
We can write in the form What value should have? It should be the number that is used to raise by in order to get According to the definition of logarithms, is then We can now write as a base-10 logarithm. This means that it should be written in the form What should be? If we take the base-10 logarithm of , we get the exponent that should be raised to in order to get In other words, we get as the exponent, In both cases, "" and " to the power of"cancel each other out.