solv algebraically for x. 27^2x+1=9^4x

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1 Answer

27=33; 9=32.

33(2x+1)=38x,

3(2x+1)=8x because the exponents must be the same.

6x+3=8x,

2x=3, x=3/2.

CHECK

27(2x+1)=274=312;

94x=96=312. So the two expressions are equal, confirming x=3/2 or 1½.

by Top Rated User (1.2m points)

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