Evaluate the expression without using a calculator.
-$\log _ { 8 } \sqrt { 8 }$
A) $\frac { 1 } { 2 }$
B) 8
C) $\frac { 1 } { 8 }$
D) 1

Question

Quizplus · Accepted Answer

We can simplify the expression by using the property that $\sqrt{a} = a^\frac{1}{2}$. 
So, $\sqrt{8} = 8^\frac{1}{2}$. 
Substituting this in the original expression, we get: 
$$\log_8{\sqrt{8}}=\log_8{8^\frac{1}{2}}=\frac{1}{2}\log_8{8}=\frac{1}{2}.$$ 
Therefore, the answer is A) $\frac{1}{2}$.

Evaluate the Expression Without Using a Calculator log⁡88\log _ { 8 } \sqrt { 8 }log8​8​

Evaluate the Expression Without Using a Calculator $\log _ { 8 } \sqrt { 8 }$