What is the range of the function g(x) = |x – 12| – 2? {y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}

The range of the given function is from -2 to infinity.

{y | y >- –2}

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: