Question

Plz help me i need it

Answer 1

Answer:
`\bold{b)\quad y=(log_4-9)/(2)}`

Explanation:

Inverse is when you swap the x's and y's and solve for y.

`y=4^(2x+9)\\\\\text{Swap the x's and y's:}\\x=4^(2y+9)\\\\\text{Apply }log_4\text{ to both sides:}\\log_4x=log_44^(2y+9)\\\\log_44\text{ cancels out:}\\log_4x=2y+9\\\\\text{Subtract 9 from both sides:}\\log_4x-9=2y\\\\\text{Divide both sides by 2:}\\(log_4x-9)/(2)=y`