Question

Plz help me i need it

Answer 1

Answer:   $\bold{b)\quad y=\dfrac{log_4-9}{2}}$

Step-by-step explanation:

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

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