here is the question... give the formula for the inverse of y=5^x. your formula should be written so that y is alone on one side of the equation. draw rough sketches of both y=5^x and its inverse. Label both graphs.
2007-04-09 15:14:50 · 3 answers · asked by sweetie34 1 in Science & Mathematics ➔ Mathematics
We take logs of both sides to get
log y = x log 5
Then log (y/5) = x. (y#0)
2007-04-09 15:26:36 · answer #1 · answered by cattbarf 7 · 0⤊ 0⤋
Define inverse?
The inverse of y=x is y'=1/x under multiplication
since 1 = x * 1/x
...
so given this definition: if y= 5^x y' = 1/(5^x)
you need values both + and - but dont get too big since 5^4 is 625 and 5^(-4) = 1/625
2007-04-09 22:31:01 · answer #2 · answered by Anonymous · 0⤊ 0⤋
ok
the inverse of y=5^x switch the places of y and x
x=5^y
therefore log5^x=y
to graph 5^x and log5^x.. is.. just.. well.. u plug values in and find out the y intercept for 5^x is alwasy one . 5^0 =1
the x intercept of log5^x=y is also 1. log5^1=0
2007-04-09 22:28:53 · answer #3 · answered by dennis c 1 · 0⤊ 0⤋