Question

Please give an accurate answer and show work.

Answer 1

3.06

Explanation:

`\log_(5)((2)/(3)x-2)+2=0\\\\\log_(5)((2)/(3)x-2)=-2\\\\`

This means that 5 to the power of -2 is
`((2)/(3)x-2)`, meaning that:

`(2)/(3)x-2=5^(-2)=(1)/(25) \\\\(2)/(3)x=(51)/(25) \\\\2x=(153)/(25) \\\\x=(153)/(50)=3.06`

Hope this helps!