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IrinaK [193]
3 years ago
7

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

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

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

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