Recognize the logarithm of a number to a given base as the exponent to which the base must be raised to get the number, recognize the operation of finding the logarithm to be the inverse operation (i.e., the undoing or reversing) of exponentiation, and evaluate simple logarithmic expressions
12F.A.1.4
Make connections between the laws of exponents and the laws of logarithms [e.g., use the statement 10^(a+b) = 10^a 10^b to deduce that log_10(x) + log_10(y) = log (xy)], verify the laws of logarithms with or without technology
12F.A.3.1
Recognize equivalent algebraic expressions involving logarithms and exponents, and simplify expressions of these types