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Pepsi [2]
2 years ago
10

Please find the inverse of this y=log base 4 x^4

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

Step-by-step explanation:

y =   log_{4}( {x}^{4} )

Swap x and y.

x =  log_{4}( {y}^{4} )

Solve for y.

x= 4 log_{4}(y)

\frac{1}{4} x =  log_{4}(y)

4 {}^{ \frac{1}{4}x }  = y

So the inverse is

4 {}^{ \frac{x}{4} }  = f {}^{ - 1} (x)

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