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

Question

asked Mar 11, 2021 104k views

1 Answer

Non Communist Mao · Answer 1 · 2021-03-16T06:28:08+0000

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,
$\ln (0.0183)=-4$