Question

How do you simplify this?

Answer 1

Convert 4 into log_2 of something, then apply the rule for adding logs of like bases. Then you should be able to find a way to get rid of them altogether.

Answer 2

4 = log\_2 (16)

log m + log n = log mn

once you convert, keep in mind that y and x-2 will both have to be greater than 0. So the graph will only be for x greater than 2 and only positive y values will be considered. So once you do get y = 16x - 32, the graph that you’ll follow will go from x = 2 to infinity. For which obviously both inequalities are satisfied.

The reason for this is log x is always defined for x greater than or equal to zero, and the base of the function can’t be 1.

Answer 3

If you want to isolate y then convert the first logarithm into an exponential function