Question

Find the zero of the function f(x)=0.8e^2x -9. Round to the nearest hundredth.

Answer 1

Answer: x=1.21

Explanation:

Given

Function is
`f(x)=0.8e^(2x)-9`

To find the zeroes, equate the function equal to zero

`\Rightarrow 0.8e^(2x)-9=0\\\\\Rightarrow e^(2x)=(9)/(0.8)\\\Rightarrow e^(2x)=11.25`

taking natural logarithm both sides

`\Rightarrow \ln (e^(2x))=\ln (11.25)\\\Rightarrow 2x=2.42\\\Rightarrow x=1.21`

The zero of the equation is 1.21