Question

Which equation can be used to find the solution of (1/4)y+1=64 ? −y−1=3y−1=3−y+1=3y + 1 = 3

Answer 1

$(\frac{1}{4})^{y+1}=64$

1/4 and 64 can be expressed as follows:

$\begin{gathered} \frac{1}{4}=4^{-1} \\ 64=4^3 \end{gathered}$

Substituting into the equation:

$\begin{gathered} (4^{-1})^{y+1}=4^3 \\ 4^{(-1)(y+1)}=4^3 \\ 4^{-y-1}=4^3 \\ -y-1=3 \end{gathered}$