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2020

Mathematics

POST UTME

If logx+2=1+logylog⁡ x+2 = 1 + log⁡ y , express yy in terms of xx


A.

10/x + 2

B.

10/x + 1

C.

x + 2/10

D.

x + 2 /3

Correct Answer: x + 2/10

Explanation

logx+2=1+logylogx + 2 = 1 + logy

logx+2logy=1logx + 2 - logy = 1

log10x+2ylog_{10}^{\frac{x + 2}{y}} =1= 1

x+2y=101\frac{x+2}{y} = 10^1

x+2=10yx + 2 = 10y

y=x+210y = \frac{x+2}{10}

logx+2=1+logylogx + 2 = 1 + logy

logx+2logy=1logx + 2 - logy = 1

log10x+2ylog_{10}^{\frac{x + 2}{y}} =1= 1

x+2y=101\frac{x+2}{y} = 10^1

x+2=10yx + 2 = 10y

y=x+210y = \frac{x+2}{10}

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