A logarithm is a mathematical function that allows us to express a number in terms of another number. For example, the logarithm of 100 (log100) is 2 because 10² = 100. Similarly, the logarithm of 1000 (log1000) is 3 because 10³ = 1000.
Logarithms are useful for solving equations in which one unknown quantity appears as an exponent. For instance, if we want to know what x is when 2x = 32, we can take the logarithm of both sides to get: log2x = log32 → x=5
In other words, the exponent (x) and the base (2) have been “switched” so that now we can solve for x using basic algebraic methods. This would not be possible without using logs!
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