We can either do it by expanding the logs or by
compressing the logs. We will choose to compress
them:
To make things easier, let's get the third term positive
by inverting the fraction and raising the fraction to
the -1 power:
=
Then we can bring the -1 power out in front of the log as
a multiplier and the coefficient will be positive:
=
Break all the integers into prime factors:
=
Write the coefficients of the logs as exponents:
=
Raise each factor inside the parenthesesto the exponent outside
the parentheses:
=
Write the sum of the three logs as the log of their product
=
Multiply the three fractions:
=
Add exponents of 13 in the top and of 11 in the bottom:
=
Cancel like factors in the numerator and denominator:
=
=
Subtract exponents
=
=
1
Edwin
