Logarithm Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Evaluate log⁡5125\log_5 125.

Solution

  1. 1
    Find xx such that 5x=1255^x = 125.
  2. 2
    Since 53=1255^3 = 125, we get log⁡5125=3\log_5 125 = 3.

Answer

33
Recognizing common powers of small bases makes logarithm evaluation straightforward.

About Logarithm

The logarithm log⁡b(x)\log_b(x) answers: "to what power must bb be raised to produce xx?" It is the inverse function of f(x)=bxf(x) = b^x.

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More Logarithm Examples

Example 1 easy

Evaluate [formula].

Example 2 medium

Solve [formula].

Example 4 medium

Solve [formula] where [formula] denotes [formula].

Example 5 hard

Solve [formula].

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