Write the exponential equation in logarithmic form. $e ^ { - 0.4 } = 0.670 \ldots$
A) $\ln 0.4 = 0.670$
B) $\ln 0.670 \ldots = 0.4$
C) $\ln 0.670 \ldots = \frac { 1 } { 0.4 }$
D) $\ln 0.670 \ldots = - \frac { 1 } { 0.4 }$
E) $\ln 0.670 \ldots = - 0.4$

Question

Write the exponential equation in logarithmic form.​ $e ^ { - 0.4 } = 0.670 \ldots$ ​
A) $\ln 0.4 = 0.670$
B) $\ln 0.670 \ldots = 0.4$
C) $\ln 0.670 \ldots = \frac { 1 } { 0.4 }$
D) $\ln 0.670 \ldots = - \frac { 1 } { 0.4 }$
E) $\ln 0.670 \ldots = - 0.4$

Quizplus · Accepted Answer

The exponential equation $e^{-0.4} = 0.670\ldots$ in logarithmic form is $\ln(0.670\ldots) = -0.4$, because the logarithm base $e$ (denoted as $\ln$) of a number is the exponent to which $e$ must be raised to produce that number.

Write the Exponential Equation in Logarithmic Form e−0.4=0.670…e ^ { - 0.4 } = 0.670 \ldotse−0.4=0.670…

Write the Exponential Equation in Logarithmic Form $e ^ { - 0.4 } = 0.670 \ldots$