Evaluate the expression. $\log _ { \sqrt { 7} } 49$
A) $4$
B) $7$
C) $\frac { 1 } { 2 }$
D) $- \frac { 1 } { 2 }$
E) $\frac { 1 } { 4 }$

Question

Quizplus · Accepted Answer

The expression $\log _ { \sqrt { 7} } 49$ can be simplified by recognizing that $49 = 7^2$ and $\sqrt{7} = 7^{1/2}$. Therefore, the expression becomes $\log _ { 7^{1/2} } 7^2$, which simplifies to $2 \div \frac{1}{2} = 4$, because the base of the logarithm and the argument have the same base (7), and the exponent of the argument (2) is divided by the exponent of the base ($\frac{1}{2}$).

Evaluate the Expression log⁡749\log _ { \sqrt { 7} } 49log7​​49

Evaluate the Expression $\log _ { \sqrt { 7} } 49$