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9^(x-1) over 3^(y+2) = 81 express y in terms of x

 Feb 24, 2023
 #1
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The equation 9^(x - 1)/3^(y + 2) = 81 can be rearranged to give 3^(y + 2) = 9^(x - 1). Taking the log of both sides, we have y + 2 = (x - 1)log(9). Therefore,

y = (x - 1)log(9) - 2

= 2(x - 1) - 2

= 2x - 2 - 2

= 2x - 4.

 Feb 24, 2023
 #2
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Thanks a lot. 

I have another question

q1. ∫(3x4-4)/ (2x3) dx

Guest Feb 24, 2023

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