What is the definition of LOG when talking about algebra?

Question

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Answer 1

Definition

The LOGARITHM of a number to a given base is the index of the power to which the base must be raised in order to give the number.

Examples

Base 10 logs

1000 = 10³

log 1000 = 3

Base 2 logs

32 = 2^5

log 32 = 5

Answer 2

The logarithm of a number is the power to which the another number should be raised ( called the base) to get that number.

log (base 10) 100 = 2

10^2 =100

Answer 3

log(base a) x = y if and only if  a exponent y = x

Answer 4

The Logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce the number.

for example:  the logarithm of 1000 to the base 10 is 3, because 10 raised to the power of 3 is 1000; the base 2 logarithm of 32 is 5 because 2 to the power 5 is 32.