Question

Determine the equation of the inverse of y=4^2x+9

Answer 1

this?
\[y=4^{2x+9}\]

Answer 2

yes

Answer 3

start by switching x and y
\[x=4^{2y+9}\]
now solve for the "new" y. You can take the log base 4 of both sides
\[\log_{4} x=\log_{4} 4^{2y+9}\]
the \(log_4\) and 4 cancel and you're left with
\[\log_4 x=2y+9\]
now solve for y

Answer 4

so log4(x)=2y+9 ???

Answer 5

you need to solve that for y to get the final inverse

Answer 6

ok thanks