27^2x-1=9^10x+2

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27 is 3^3 and 9 is 3^2, so 3^3(2x-1)=3^2(10x+2); 3(2x-1)=2(10x+2); 6x-3=20x+4; 14x=-7, x=-1/2.

CHECK: 27^-2=9^-3 or 1/27^2=1/9^3; taking square roots of each side: 1/27=1/9^(3/2)=1/3^3=1/27.

by Top Rated User (1.1m points)

Given 27^(2x-1)=9^(10x+2)
3^(3(2x-1))=3^(2(10x+2))
3(2x-1)=2( 10x+2)
6x-3=20x+4
-4-3=20x-6x
-7 = 14x
x = -7/14
x = -1/2

Pre Algebra Help
 

by Level 8 User (30.1k points)

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