Evaluate or simplify the expression without using a calculator.
-$10 \log \sqrt [ 4 ] { x }$
A) $x ^ { 1 / 4 }$
B) $x ^ { 4 }$
C) 4
D) $x ^ { - 1 / 4 }$

Question

Quizplus · Accepted Answer

The expression $10 \log \sqrt [ 4 ] { x }$ simplifies to $10 \log x^{1/4}$. Using the logarithm power rule, $\log a^b = b \log a$, this becomes $10 \cdot \frac{1}{4} \log x$, which simplifies to $2.5 \log x$. However, none of the options directly match this simplification, indicating a misunderstanding in the interpretation of the question's request for simplification. The correct approach should involve properties of logarithms and exponents, but the provided options and the simplification path taken do not align correctly with standard logarithmic simplifications.

Evaluate or Simplify the Expression Without Using a Calculator 10log⁡x410 \log \sqrt [ 4 ] { x }10log4x​

Evaluate or Simplify the Expression Without Using a Calculator $10 \log \sqrt [ 4 ] { x }$