Answer: x = 1
Given:
[tex]3^{x+4}=243[/tex]
First, we need to express 243 as a number with base 3 raised to a certain exponent.
From this, if we take 3 to the fifth power, we will get the value of 243
[tex]3^5=243[/tex]
Now, we can rewrite the given equation as
[tex]3^{x+4}=3^5[/tex]
Now that we have the same base for both sides of the equation, we can now focus on solving the exponents for the value of x.
[tex]x+4=5[/tex]
*Solve for x
[tex]x=5-4[/tex][tex]x=1[/tex]
Therefore, the value of x = 1.
To check:
[tex]3^{x+4}=243[/tex][tex]3^{(1)+4}=243[/tex][tex]3^5=243[/tex][tex]243=243[/tex]
To check
