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Question

Find 'x', if 8x2×(12)43x=(0.0625)x.
  1. 0
  2. 4
  3. 2
  4. 1


Solution

The correct option is D 1
The given expression is:
8x2×(12)(43x)=(0.0625)x23(x2)×(12)(43x)=(116)x2(3x6)2(43x)=(12)4x2(3x6(43x))=2(4x)2(6x10)=2(4x)6x10=4x(multiplying both sides by log base 2)10x=10x=1.

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