Question

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

Answer 1

Answer:

The answer is

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

Step-by-step explanation:

$ln(2) \times ln(4x) = 3$

Divide both sides of the equation by ln 2

That's

$\frac{ ln(2) ln(4x) }{ ln(2) } = \frac{3}{ ln(2) }$

We have

$ln(4x) = \frac{3}{ ln(2) }$

Covert the logarithm into exponential form using the property

$ln(x) = b \: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:x = {e}^{b}$

Are all the same

So

$ln(4x) = \frac{3}{ ln(2) }$

is the same as

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

Divide both sides by 4

We have the final answer as

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

Hope this helps you