Precalculus question

Question

Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1.

10^b = w ____?

Answer 1

Remember this: "A logarithm is an exponent" Since "b" is the exponent, it will be equal to the logarithm. The base of the exponent is "10" and the base stays the same in both the exponential and the logarithm forms. So the conversion of 10^b = w is log₁₀(w) = b

log base 10 can be shortened to be just "log" (no base shown defaults to log₁₀) so another way to write your solution is "10^b = w is the same as log(w) = b