If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.

Assessment: WAEC SSCE - General Mathematics - 2002 (Objective) Subject: General Mathematics

Question 1 Report

If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.

Answer Details

We can use the rule that log a^n = n log a to solve this problem. Since we are given log 2 = 0.3010 and log 2^y = 1.8062, we can use the second equation to get:


log 2^y = 1.8062
y log 2 = 1.8062     (using the above rule)
y = 1.8062 / log 2
y = 5.9889

Rounding to the nearest whole number, we get y = 6. Therefore, the answer is option A.

Read lesson note on Logarithms (WAEC)
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