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Find the inverse of the function f(x)=8^x

User TriS
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1 Answer

7 votes

Answer:

y = logx/log8

Explanation:

To find the inverse of an equation, you switch the locations of x and y, then solve for y.

So in this case, f(x) = y, and your equation is:

y = 8^x

It would become

x = 8^y

There are multiple ways to solve this- one I usually use is logs, so you take the log of both sides.

log x = ylog8

(when you take the log of something the exponent becomes a coefficient)

Then, y = logx/log8

I hoped this helped!

User Rbento
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