Question

Logarithmic and Exponential Forms of Equations In Exercise, write the logarithmic equation as an exponential equation, or vice versa.
e - 4 = 0.0183 ...

Answer 1

Answer : The logarithmic equation of given exponential equation is, $\ln (0.0183)=-4$

Step-by-step explanation :

As we are given the exponential equation.

$e^{-4}=0.0183$

Formula used :

The inverse property of logarithm for the expression $\ln e^x$ is:

$\ln e^x=x$

Now we have to determine the logarithmic equation of given exponential equation.

$e^{-4}=0.0183$

Taking natural logarithm both sides as,

$\ln e^{-4}=\ln (0.0183)$

$-4=\ln (0.0183)$

$\ln (0.0183)=-4$

Thus, the logarithmic equation of given exponential equation is, $\ln (0.0183)=-4$