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borishaifa [10]
3 years ago
15

Determine the equation of the inverse of y =4^(2x+9)

Mathematics
1 answer:
dybincka [34]3 years ago
6 0
Y = 1/2[(logx/log 4) - 9] is the inverse. 

You can solve this by switching the x and y values and then solve. You'll need to use logarithmic functions in order to get the exponents down. 

<span>x =4^(2y+9)---> take logs of both sides and move exponents
logx = (2y + 9)log 4 ---> divide by log4
logx/log4 = 2y + 9 ---> subtract 9
(logx/log4) - 9 = 2y ---> multiply by 1/2
1/2[(logx/log4) - 9] = y</span>
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Answer:

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step 1

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we know that

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step 2

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we know that    

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where  

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