Find the inverse of the exponential function f(x)=10^x
Mathematics · College · Tue Nov 03 2020
llm
Answered on
Given the function:
f(x) = 10^x
Determine the inverse of the function.
Solution:
In order to determine the inverse of the exponential function, we change f(x) to y, then exchange the position of y and x.
f(x) = 10^x
y = 10^x
x = 10^y or log 10 x = y
Logarithmic functions are the inverse or opposite of exponential functions.
Final answer:
x = 10^y
log 10 x =y