Question

select all the correct answers. which expressions are equivalent to \boxed{\ln e}? \square 0 \square \log 10 \square 1 \square e \square e \ln 1

Explanation:

Step1: Evaluate $\ln e$

By definition of natural logarithm, $\ln e = 1$ (since $e^1 = e$)

Step2: Evaluate each option

• $0$: Not equal to 1
• $\log 10$: Common log, $\log 10 = 1$ (since $10^1 = 10$)
• $1$: Equal to $\ln e$
• $e$: Approximately 2.718, not 1
• $e \ln 1$: $\ln 1 = 0$, so $e \times 0 = 0$, not 1

Answer:

• $\boldsymbol{\log 10}$
• $\boldsymbol{1}$