Posted by Rebekah on Sunday, November 18, 2012 at 8:46pm.
what is the f inverse of f(x)= ln(x-3)
I got y= e^x - 4
8 times 10^(2x-7)=3
I do not know how to do this. Do i get 8 and 10 with the same base? How?
- Check my precalc - Reiny, Sunday, November 18, 2012 at 10:07pm
f(x) = ln(x-3) or
y = ln(x-3)
first step of find the inverse is to interchange the x and y variables, so the inverse is
x = ln(y-3)
e^x = y-3
y = e^x + 3
8 (10^(2x-7) ) = 3
10^(2x-7) = .375
take log of both sides
log( 10^(2x-7) ) = log .375
(2x-7) log 10 = log .375, remember log 10 = 1
2x - 7 = log .375
x = (7 + log.375)/2 = appr 3.287
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