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MATHEMATICS

JAMB 2020 - Question 3

Mathematics 2020 JAMB Past Questions - Question 3: If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.

Choose the most appropriate option for the gap .

If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.

A: 1/2x

B: x-1/4

C: x-1/3

D: x -1/2

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Correct Answer

Explanation

log810 = X = log82x5log82 + log85 = XBase 8 can be written as 2^3log82=ytherefore 2=8yy=1313=log82taking 13 to the other side of the original equationlog85=X−13