Answer: x=1.21
Step-by-step explanation:
Given
Function is [tex]f(x)=0.8e^{2x}-9[/tex]
To find the zeroes, equate the function equal to zero
[tex]\Rightarrow 0.8e^{2x}-9=0\\\\\Rightarrow e^{2x}=\dfrac{9}{0.8}\\\Rightarrow e^{2x}=11.25[/tex]
taking natural logarithm both sides
[tex]\Rightarrow \ln (e^{2x})=\ln (11.25)\\\Rightarrow 2x=2.42\\\Rightarrow x=1.21[/tex]
The zero of the equation is 1.21
