Answer:
Value of x is 4.0
Step-by-step explanation:
Given:
[tex]4^x=243[/tex]
To find: Value of x.
We use the following rule,
[tex]log\,x^a=a.log\,x[/tex]
Consider,
[tex]4^x=243[/tex]
Take log on both sides.
[tex]log\,4^x=log\,243[/tex]
[tex]x\times log\,4=log\,243[/tex]
[tex]x=\frac{log\,243}{log\,4}[/tex]
[tex]x=\frac{2.386}{0.602}[/tex]
x = 3.962
x = 4.0 (nearest tenth)
Therefore, Value of x is 4.0
