Logarithm Notation and Common Logarithms

Hi Mary, let's solve these logarithm problems together.

First, we convert exponential equations to logarithmic form. Recall that if a to the power of b equals c, then the log base a of c equals b.

For our first one, ten to the power of three equals one thousand, so we write this as log base ten of one thousand equals three.

Next, for four to the power of x equals two hundred fifty-six, we write this as log base four of two hundred fifty-six equals x.