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Find the value of x if 9^x - 6*3^x - 27 = 0

 Jul 20, 2021
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3^x = y

y^2 - 6y - 27 = 0

(y-9)(y+3) = 0

y = 9, or -3.

However, y can't be negative since y = 3^x.

y = 9

3^x = 9

x = 2

 

=^._.^=

 Jul 21, 2021

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