GCEFurther MathematicsSurds, Indices and Logarithms2020

If $\log_x 64 = 3$, find x.

A8
B4CORRECT
C16
D2
AI
Toaster Teacher
Why the answer is B, and why the others tempt you.
log_x 64 = 3 means x³ = 64. Since 4³ = 64, x = 4. The definition of logarithm converts the equation directly into an exponential form for easy solution.
Want this in Pidgin, Yoruba, Igbo or Hausa? Sign up free →

Practice more Further Mathematics questions

GCE Further Mathematics has thousands more questions like this — with Worked answers on every one.