Guided Example #3 - Laws of Logarithms

“Squash, Split and Fly”

Here is a simpler way to remember the laws of logarithms:

If logarithmic terms, with the same base number, are being added, the arguments are 'squashed' together by multiplying them
If a logarithmic term is being subtracted from another, with the same base number, the arguments are 'split' into a fraction
The power of an argument can 'fly' to the front of the log term and vice versa.

Useful log facts When working with logarithms, the following facts are useful:

$\log_{a} a = 1$ since $a^{1} = a$

$\log_{a} 1 = 0$ since $a^{0} = 1$

${log}_{7} 7 + {log}_{3} 3$

= 1 + 1

= 2