Investigating Logarithms

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Investigating Logarithms

log2 + log3

0.7782

log6

0.7782

log3 + log7

1.322

log21

1.322

log4 + log 20

1.903

log80

1.903

log0.2 + log11

0.3424

log2.2

0.3424

log0.3 + log 0.4

-0.9208

log0.12

-0.9208

This table to the left clearly shows that the log of 2 numbers added together will equal the log of the number multiplied. The table below clearly shows that log (?) + log (y) will equal log (?y). Let log x = a, let log y = b. Therefore 10a = x and 10b = y, these two equations can then be simplified to 10(a+b) =x*y. it is then possible to convert this back to log (xy) = a + b.

log5 + log4

log20

1.301

log3 + log2

log6

0.7782

log4 + log8

log32

1.505

log6 + log3

log18

1.255

log3 + log26

log78

1.892

log7 + log4

log28

1.447

log12 - log3

0.6021

log4

0.6021

log50 -