JAMB - Mathematics (1982 - No. 8)

Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms
2x(1 + y) = 3
2x - x(1 + y) = 8
x2 = 8(1 + y)x
x2 - x(1 + y) = 8
x2 - (1 + y)2 = 8

Explanation

2log2 x - x log2 (1 + y) = 3

log2 \(\frac{x^2}{(1 + y)^x}\) = 3

= \(\frac{x^2}{(1 + y)^x}\)

= 23

= 8

= x2 = 8(1 + y)x

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