Question

Hii:) anyone able to help with practice 6? Thanks:)!

Answer 1

The answer is

`x = \frac{ {e}^{ (3)/( ln(2) ) } }{4}`

Explanation:

`ln(2) * ln(4x) = 3`

Divide both sides of the equation by ln 2

That's

`( ln(2) ln(4x) )/( ln(2) ) = (3)/( ln(2) )`

We have

`ln(4x) = (3)/( ln(2) )`

Covert the logarithm into exponential form using the property

`ln(x) = b </h3><p> \: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:</p><p></p><h3>x = {e}^(b)`

Are all the same

So

`ln(4x) = (3)/( ln(2) )`

is the same as

`4x = {e}^{ (3)/( ln(2) ) }`

Divide both sides by 4

We have the final answer as

`x = \frac{ {e}^{ (3)/( ln(2) ) } }{4}`

Hope this helps you