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Question

Find x if 9 * 3^x = (27)^2x-3


Solution

9 × 3^x = ( 27 ) ^ 2x -3

9 × 3^x = ( 3 ) ^3(2x-3)

3² × 3^x = ( 3 )^ 6x - 9

3^(2+x)= 3^(6x-9)

since a^m × a ^n = a^(m+n)

we know that,

if a^m = a^n then m= n

2+x = 6x-9

x-6x = -9-2

-5x = -11

x = (-11)/(-5)

therefore,

x = 11/5

I hope this helps you.

LIKE IF SATISFIED

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