Question

How do i solve 1? Rewriting the equation so that you set up a one to one correspondence between all of the parts. Then solve for x

Answer 1

Answer: x = 1

Given:

`3^(x+4)=243`

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

`3^5=243`

Now, we can rewrite the given equation as

`3^(x+4)=3^5`

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.

`x+4=5`

*Solve for x

`x=5-4`
`x=1`

Therefore, the value of x = 1.

To check:

`3^(x+4)=243`
`3^((1)+4)=243`
`3^5=243`
`243=243`

To check