Use the properties of logarithms to evaluate $\ln e ^ { 5 } - \ln e ^ { 4 }$ without a calculator.
A) $\sqrt [ 4 ] { 5 }$
B) 9
C)0
D) 1
E) $\frac { 4 } { 5 }$

Name: Use the properties of logarithms to evaluate $\ln e ^ { 5 } - \ln e ^ { 4 }$ without a calculator. A) $\sqrt [ 4 ] { 5 }$ B) 9 C)0 D) 1 E) $\frac { 4 } { 5 }$
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Question

Quizplus · Accepted Answer

Using the property that $\ln a ^ { b } = b \ln a$, we can rewrite the expression as:

$$\ln e ^ { 5 } - \ln e ^ { 4 } = 5 \ln e - 4\ln e = 5 - 4 = 1$$

Therefore, the answer is D) 1.

Use the Properties of Logarithms to Evaluate ln⁡e5−ln⁡e4\ln e ^ { 5 } - \ln e ^ { 4 }lne5−lne4

Use the Properties of Logarithms to Evaluate $\ln e ^ { 5 } - \ln e ^ { 4 }$