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If(19)2x1=(181)23xfind the v...

If(19)2x1=(181)23xfind the value of x

A.

58

B.

34

C.

34

D.

58

Correct answer is D

(19)2x1=(181)23x

(19)2x1=(19)2(23x)

(19)2x1=(19)46x

Since the bases are equal, powers can be equated

= 2x - 1 = 4 - 6x

= 2x + 6x = 4 + 1

= 8x = 5