Precalculus

How to solve

Exponential and log forms are the same statement: bˣ = c means x = log_b(c).

Steps

  1. For bˣ = c: write c as a power of b; match exponents.
  2. For log_b(x) = k: rewrite as x = bᵏ.
  3. Check by substituting back.

Example

Solve 3ˣ = 81.

  1. 81 = 3⁴.
  2. So x = 4.

Answer: 4

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