We are given the following equation:
[tex]\log _x5+\log _x12=7[/tex]we will use the following property of logarithms:
[tex]\log _ab+\log _ac=\log _a(bc)[/tex]Applying the property:
[tex]\log _x(5\times12)=7[/tex]Now we will use the following property:
[tex]\log _ab=c\rightarrow b=a^c[/tex]Applying the property:
[tex]5\times12=x^7[/tex]Solving the operation:
[tex]60=x^7[/tex]And thus we get the exponential equivalent of the equation.
