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What is a logarithm?

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Oct 15, 2014

The logarithm base #b# of a number #n# is the number #x# that when #b# is raised to #x#th power, the resulting value is #n#

#log_b n = x <=> b^x = n#

Example:

#log_2 8 = x#

#=> 2^x = 8#
#=> 2^x = 2^3#
#=> x = 3#

#log_5 1 = x#
#=> 5^x = 1#
#=> 5^x = 5^0#
#=> x = 0#

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