Solve the equation log8x - 4log8x = 2
A
1/4
B
1/2
C
1
D
2
E
4
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
log\(_8\)x - 4log\(_8\)x = 2; log\(_8\)x - log\(_8\)x\(^4\) = 2
log\(_8\)(\(\frac{\text{x}}{x^4}\)) = 2
\(\frac{\text{x}}{x^4}\) = 8\(^2\) = \(\frac{1}{x^3}\) = 64
x\(^3\) = (\(\frac{1}{4}\))\(^3\);
x = \(\frac{1}{4}\)
Source: Myschool Past Questions Archive (Record #23505)