Question

find the inverse of the function defined by f(x) = 5^x-2 +3 ..

Answer 1

find the inverse of the function defined by \[f (x) = 5^{x-2} +3\]

Answer 2

whats the first thing u think u need to do before i get started

Answer 3

i think i do first the steps in inverse function
\[ f(x)=5^{x-2}+3\]
then
\[y=5^{x-2}+3\]
then
\[y-3=5^{x-2}\]
then
\[y-3 = \log (x-2)\]
i dont know whats next.. help me :D

Answer 4

very good

Answer 5

multiply both sides by x-2

Answer 6

then distrubute

Answer 7

how??

Answer 8

you're correct till
\(y-3 = 5^{x-2}\)

now take log on BOTH sides.

Answer 9

when it comes to log, i dont know.. help!

Answer 10

Can you simplify \(\log(5^{x - 2})\)?

Answer 11

ok,

\( \log (y-3) = \log (5^{x-2})\)

for the right side, use the property that
\(\log A^B = B \log A\)

Answer 12

still not clear ?

Answer 13

srry step out really fast

Answer 14

wait.. still thinking :D