Solve for f
f=y\times \left(\frac{3}{2}\right)^{x}
y\neq 0
Solve for x
x=\log_{\frac{3}{2}}\left(\frac{f}{y}\right)
\left(f<0\text{ and }y<0\right)\text{ or }\left(f>0\text{ and }y>0\right)
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\frac{1}{y}f=\left(\frac{3}{2}\right)^{x}
The equation is in standard form.
\frac{\frac{1}{y}fy}{1}=\frac{\left(\frac{3}{2}\right)^{x}y}{1}
Divide both sides by y^{-1}.
f=\frac{\left(\frac{3}{2}\right)^{x}y}{1}
Dividing by y^{-1} undoes the multiplication by y^{-1}.
f=y\times \left(\frac{3}{2}\right)^{x}
Divide \left(\frac{3}{2}\right)^{x} by y^{-1}.
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