Question

what is the inverse of h(x)=12e^2x. based on your answer write an expression write an expression equivalent to where x is h of 10

Answer 1

let y = 12 e^2x

e^2x = y/12
Taking logs@
ln e^2x = ln (y/12)

2x = ln (y/12)

x = (1/2) ln (y / 12)

so the inverse h-1(x) = (1/2) ln ( x / 12)