Question

Solve the equation period round to the three decimal places

Answer 1

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

`2(e)^(3t)^{}\text{ =10}`

Divide both sides by 2

`(e)^{3t\text{ }}=5`

But e=2.71828

`2.7183^(3t)\text{ = 5}`

Introduce logariths on both sides as;

`3t\text{ }\ln \text{ 2.7183 = }\ln \text{ 5}`
`3t(1)=1.6094`

t = 1.6094 /3

t= 0.5364

Answer

t= 0.5364