Simplify the expression. $\log _ { 5 } 5 ^ { 9 }$
A)45
B)5
C)9
D)81
E)none of these

Name: Simplify the expression. $\log _ { 5 } 5 ^ { 9 }$ A)45 B)5 C)9 D)81 E)none of these
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Question

Simplify the expression.​ $\log _ { 5 } 5 ^ { 9 }$ ​
A)45
B)5
C)9
D)81
E)none of these

Quizplus · Accepted Answer

The logarithm of a number where the base and the number inside the logarithm are the same (in this case, both are 5) is equal to the exponent of the number inside the logarithm. Therefore, $\log_5 5^9 = 9$.

Simplify the Expression log⁡559\log _ { 5 } 5 ^ { 9 }log5​59

Simplify the Expression $\log _ { 5 } 5 ^ { 9 }$