How to work a logarithm question

Mathematics

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Answer

Logarithms are the inverse of exponentiation. The logarithm of a number yy with respect to a base bb is the exponent to which bb must be raised to produce yy.

The general form is:

log⁡b(y)=x  ⟺  bx=y\log_b(y) = x \quad \iff \quad b^x = y

Example:
To solve log⁡2(8)\log_2(8):
We are looking for the exponent xx such that 2x=82^x = 8.
Since 23=82^3 = 8, then log⁡2(8)=3\log_2(8) = 3.

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