Solve for t
t=\frac{16^{z}}{4096}
Solve for z
z=\frac{\log_{2}\left(t\right)+12}{4}
t>0
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16^{z+1}=65536t
Calculate 2 to the power of 16 and get 65536.
65536t=16^{z+1}
Swap sides so that all variable terms are on the left hand side.
\frac{65536t}{65536}=\frac{16\times 16^{z}}{65536}
Divide both sides by 65536.
t=\frac{16\times 16^{z}}{65536}
Dividing by 65536 undoes the multiplication by 65536.
t=\frac{16^{z}}{4096}
Divide 16\times 16^{z} by 65536.
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