Question

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

Answer 1

Answer: x=1.21

Step-by-step explanation:

Given

Function is $f(x)=0.8e^{2x}-9$

To find the zeroes, equate the function equal to zero

$\Rightarrow 0.8e^{2x}-9=0\\\\\Rightarrow e^{2x}=\dfrac{9}{0.8}\\\Rightarrow e^{2x}=11.25$

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