Question

Find the solution to the equation log16 32 = x + 3. Please explain in sentences how you arrived at the answer. Thanks

Answer 1

first you need to find
\[\log_{16}(32)\]

Answer 2

you have a choice, math teacher way or cheat way
\[16^y=32\]
\[2^{4y}=2^{5}\]
\[4y=5\]
\[y=\frac{5}{4}\]

Answer 3

then solve
\[\frac{5}{4}=x+3\] in one step (subtract 3) and you are done