Use the properties of logarithms to simplify the expression. $\log _ { 5 } 5 ^ { 5 }$
A)0
B) $- \frac { 1 } { 5 }$
C) $\frac { 1 } { 5 }$
D)-5
E)5

Question

Use the properties of logarithms to simplify the expression.​ $\log _ { 5 } 5 ^ { 5 }$ ​
A)0
B)​ $- \frac { 1 } { 5 }$
C) $\frac { 1 } { 5 }$
D)-5
E)5

Quizplus · Accepted Answer

The expression simplifies to 5 because of the property of logarithms that states $\log_b(b^x) = x$, where b is the base of the logarithm and x is the exponent. In this case, the base is 5 and the exponent is also 5, so the expression simplifies to 5.

Use the Properties of Logarithms to Simplify the Expression log⁡555\log _ { 5 } 5 ^ { 5 }log5​55

Use the Properties of Logarithms to Simplify the Expression $\log _ { 5 } 5 ^ { 5 }$