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

Question

asked Jul 5, 2019 3.2k views

2 Answers

Amu · Answer 1 · 2019-07-11T16:04:59+0000

Answer:

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