Question

Find the solution of the exponential equation, correct to four decimal places.
e^-4x=8
x=

Answer 1

lake the natural logarithm of both sides:

\[\ln(e^{-4x}) = \ln(8)\]
since the natural log is the inverse operation of the exponential function:
\[-4x = \ln(8)\]
\[x = \frac{ -\ln(8) }{ 4 }\]

Answer 2

4 decimal places.....

Answer 3

use your calculator....