Answered

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

Sagot :

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

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