This worksheet helps you to understand some of the facts, rules and properties of logarithm computation.
1. Logarithms do not exist for zero or negative numbers.
2. Numbers greater than 1 have positive logarithms; numbers less than one but greater than zero have negative logarithms.
Some Rules & Properties for Logarithm:
log(axb) = log a + log b --->Logarithm Multiplication Property
log(a/b) = log a - log b --->Logarithm Division Property
log a^n = n log a --->Logarithm for Powers Property
log a(a)=1 --->Logarithm Property for base
log25=log 5/log 2 ---->Logarithm property for changing base value
Solving Logarithm Example:
Example for Changing Base
1. Find Log25 using Log base 10.
So to Find Log25 .
Log25 = Log 5/Log 2
Log25 = 0.699/0.3010
Log25 = 2.3222
Example for Square root:
2. Solve Log10√10
Log10√10=1/2 x Log1010
Log10√10=1/2 x 1
When you try to solve logarithm functions, this log calculator can be used to verify the results.