If log$_x$ 2 = 0.3, evaluate log$_x$ 8.

Assessment: WAEC SSCE - General Mathematics - 2019 (Objective) Subject: General Mathematics

Question 1 Report

2.4

1.2

0.9

0.6

Answer Details

We can use the property of logarithms that states: $$\log_{a}(b^c) = c \log_{a}(b)$$ Using this property, we can rewrite the expression for log$_x$ 8 as: $$\log_{x}(8) = \log_{x}(2^3) = 3\log_{x}(2)$$ We are given that log$_x$ 2 = 0.3, so we can substitute this value: $$3\log_{x}(2) = 3(0.3) = 0.9$$ Therefore, the value of log$_x$ 8 is 0.9. Therefore, option (C) is the correct answer: 0.9.

Read lesson note on Logarithms (WAEC)

Logarithms

View Answer