Find the exact value of $\ln e ^ { 2.50 } - \ln \sqrt { e }$ without using a calculator.
A) $1.25$
B) 5
C) 2
D) 3
E) $2.5$

Name: Find the exact value of $\ln e ^ { 2.50 } - \ln \sqrt { e }$ without using a calculator. A) $1.25$ B) 5 C) 2 D) 3 E) $2.5$
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Question

Quizplus · Accepted Answer

Using the rules of logarithms, we can simplify the expression as follows:
$$\ln e^{2.5}-\ln\sqrt{e}=\ln(e^{2.5}/\sqrt{e})=\ln(e^{2.5}\cdot e^{-1/2})=\ln(e^{2.5-1/2})=\ln(e^{2})=2$$

Find the Exact Value Of ln⁡e2.50−ln⁡e\ln e ^ { 2.50 } - \ln \sqrt { e }lne2.50−lne​

Find the Exact Value Of $\ln e ^ { 2.50 } - \ln \sqrt { e }$