Hello!
[tex]\large\boxed{\log_{7}{(\frac{12m}{n}})}[/tex]
Use the log properties to simplify:
log (a) + log (b) = log (a · b)
log (a) - log (b) = log (a ÷ b)
Therefore:
[tex]log_{7}12 + log_{7}m - log_{7}n\\\\= log_{7}(12 * m / n}\\\\log_{7}{(\frac{12m}{n}})[/tex]
