Free expand an algebraic expression tool to solve exponential equation. Instant results in your browser — no signup.
Also known as: Solve exponential equation, exponential equation calculator, exponential equation, solve for x in b^x, Expand an algebraic expression, Simplify an algebraic expression, Solve logarithmic equation, solve exponential equation calculator
Results update when you click Solve.
x
3.000000
2.0000·3.0000ˣ = 54.0000 → x = ln(27.0000) / ln(3.0000)
Steps
| Step | Detail |
|---|---|
| 1 | 3.0000ˣ = 27.0000 |
| 2 | x·ln(3.0000) = ln(27.0000) |
| 3 | x = 3.000000 |
Free expand an algebraic expression tool to solve exponential equation. Instant results in your browser — no signup. a·bˣ = c → bˣ = c/a → x = log_b(c/a) = ln(c/a) / ln(b).
a·bˣ = c → bˣ = c/a → x = log_b(c/a) = ln(c/a) / ln(b).
2·3ˣ = 54 → 3ˣ = 27 → x = 3.
Enter b ≈ 2.71828 for eˣ equations.