Evaluate the expression. $\log _ { 40,353,607 } \sqrt { 40,353,607 }$
A) $\frac { 13 } { 2 }$
B) $\frac { 1 } { 2 }$
C) $5$
D) $\frac { 11 } { 2 }$

Question

Quizplus · Accepted Answer

Since we are taking the log base of the square root of the same number, we can simplify the expression to $\log _ { 40,353,607 } \sqrt { 40,353,607 }=\log _ { 40,353,607 } (40,353,607)^{\frac{1}{2}} = \frac{1}{2} \log_{40,353,607} (40,353,607)$. Since the logarithm with base $40,353,607$ of $40,353,607$ is equal to 1, the expression equals $\frac{1}{2} \cdot 1 = \frac{1}{2}$. Thus, the correct answer is B.

Evaluate the Expression log⁡40,353,60740,353,607\log _ { 40,353,607 } \sqrt { 40,353,607 }log40,353,607​40,353,607​

Evaluate the Expression $\log _ { 40,353,607 } \sqrt { 40,353,607 }$