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

Solve

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?

Thanks!

- 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

2.

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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