Find the value of x for which 32four = 22x

Find the value of x for which 32four = 22x

waec-2018 ssce-exam-2018 waec-mathematics-2018 math

Find the value of x for which 32_four = 22_x

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Asked by judziy•rep:1.6K
University of Benin • Nigeria
31 August 2020

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1 answer(s)

Alberteinstein answered•rep:228
School not set • Nigeria
31 August 2020

32_four = 22_x

Convert both sides to base 10

3*4¹ + 2*4⁰ = 2*x¹ + 2*x⁰

3*4 + 2*1 = 2*x + 2*1

12 + 2 = 2x + 2

14 = 2x + 2

2x = 14 - 2

2x = 12

x = 12/2

x = 6

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