Solve: [tex](\frac{2}{3})^{x} = (\frac{9}{4})[/tex]
By converting an exponential into a logarithm, we can find a value for x.
[tex]\frac{2}{3})^{x} = (\frac{9}{4})[/tex]
[tex]log_{\frac{2}{3}}(\frac{9}{4}) = x[/tex]
[tex]x = \frac{ln(\frac{9}{4})}{ln\frac{2}{3}}[/tex]
[tex]x = -2[/tex]
