What is the inverse of y=log(x-3)? ?

1 Answer
Nov 1, 2015

y=10^x+3

Explanation:

The inverse of a logarithmic function y=log_ax is the exponential function y=a^x.

[1]" "y=log(x-3)

First we must convert this to exponential form.

[2]" "hArr10^y=x-3

Isolate x by adding 3 to both sides.

[3]" "10^y+3=x-3+3

[4]" "x=10^y+3

Finally, switch the positions of x and y to get the inverse function.

[5]" "color(blue)(y=10^x+3)