Question

What is the value of x if g^x-1-2= 25?

Answer 1

x =
`(5)/(2)`

Explanation:

this is correct answer on ed-genuity, hope this helps! :)

Answer 2

Third option:
`x=(5)/(2)`

Explanation:

The correct exercise is attached.

The equation given is:

`9^(x-1)-2=25`

The steps to find the value of "x" are shown below:

1. Add 2 to both sides of the equation:

`9^(x-1)-2+2=25+2\\\\9^(x-1)=27`

2. Descompose 9 and 27 into their prime factors:

`9=3*3=3^2\\27=3*3*3=3^3`

3. Substitute them into the equation:

`3^(2(x-1))=3^3`

4. Knowing that If
`a^n=b^m`, then
`n=m`, we get:

`2(x-1)=3`

5. Apply Distributive property:

`2x-2=3`

6. Add 2 to both sides:

`2x-2+2=3+2\\\\2x=5`

7. Divide both sides of the equation by 2:

`(2x)/(2)=(5)/(2)\\\\x=(5)/(2)`