Given that $log_4 x = -3$, find x.

Assessment: WAEC SSCE - General Mathematics - 2000 (Objective) Subject: General Mathematics

Question 1 Report

$\frac{1}{81}$

$\frac{1}{64}$

64

81

Answer Details

The given equation is $\log_4 x = -3$. We know that $\log_a b = c$ is equivalent to $a^c = b$. Using this property, we have: $$4^{-3} = x$$ Simplifying the right-hand side, we get: $$\frac{1}{4^3} = x$$ Since $4^3 = 64$, we have: $$\frac{1}{64} = x$$ Therefore, the answer is $\frac{1}{64}$.

Read lesson note on Logarithms (WAEC)

Logarithms

View Answer