Evaluate or simplify the expression without using a calculator.
-$\log 10 ^ { 5 }$
A) 5
B) 10
C) $\log 5$
D) $10 ^ { 5 }$

Question

Quizplus · Accepted Answer

By definition, $\log_b a$ represents the exponent $x$ that $b$ must be raised to in order to equal $a$. In this case, $a=10^5$ and $b=10$. Therefore, $\log 10^5$ represents the exponent $x$ that $10$ must be raised to in order to equal $10^5$. Since $10^5=100000$, we know that $10^5=10^5$, so $x=\boxed{	extbf{(A)}\ 5}$.

Evaluate or Simplify the Expression Without Using a Calculator log⁡105\log 10 ^ { 5 }log105

Evaluate or Simplify the Expression Without Using a Calculator $\log 10 ^ { 5 }$