GloricelyB80954 GloricelyB80954
  • 04-11-2022
  • Mathematics
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solve the equation period round to the three decimal places

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KenidyQ704603 KenidyQ704603
  • 04-11-2022

The equation requires you to get the value of t in the following;

[tex]2(e)^{3t}^{}\text{ =10}[/tex]

Divide both sides by 2

[tex](e)^{3t\text{ }}=5[/tex]

But e=2.71828

[tex]2.7183^{3t}\text{ = 5}[/tex]

Introduce logariths on both sides as;

[tex]3t\text{ }\ln \text{ 2.7183 = }\ln \text{ 5}[/tex][tex]3t(1)=1.6094[/tex]

t = 1.6094 /3

t= 0.5364

Answer

t= 0.5364

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