Mathematics
Grade10
Easy

Question

Find the value of x if 4 to the power of 3 x minus 7 end exponent equals 16 to the power of x plus 3 end exponent.

  1. 11
  2. 2
  3. 13
  4. 7

hintHint:

If the bases are equal in equation then equate the powers

The correct answer is: 13


    4 to the power of 3 x minus 7 end exponent equals 16 to the power of x plus 3 end exponent
    4 to the power of 3 x minus 7 end exponent equals 4 to the power of 2 x plus 6 end exponent
    3 space x minus 7 equals 2 space x plus 6  [Since the bases are equal, equate the powers]
    straight x equals 13

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