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If 23_x + 101_x = 130_x, find ...

If 23_x + 101_x = 130_x, find the value of x

A.

7

B.

6

C.

5

D.

4

View answer & explanation

Correct answer is D

23_x + 101_x = 130_x

2 x X¹ + 3 x X^o + 1 x X² + 0 x X¹ + 1 x X^o

= 1 x X^o = 1 x X² + 3 x X¹ + 0 x X^o

= X² + 3x + 0

2x + 3 = x² + 0 + 1 + x² + 3x

2x - 3x + x² - x² = -3 - 1

- x = -4

x = 4

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