Question

Solve 4^x = 243 round to the nearest ten thousandth

Answer 1

x=ln(243)/2ln(2) which equals 3.96240625
your answer is 3.9624

Answer 2

Value of x is 4.0

Explanation:

Given:

`4^x=243`

To find: Value of x.

We use the following rule,

`log\,x^a=a.log\,x`

Consider,

`4^x=243`

Take log on both sides.

`log\,4^x=log\,243`

`x* log\,4=log\,243`

`x=(log\,243)/(log\,4)`

`x=(2.386)/(0.602)`

x = 3.962

x = 4.0 (nearest tenth)

Therefore, Value of x is 4.0