Solve logarithmic equation
Solve log_b(x) = c for x by exponentiating both sides.
Also known as: solve logarithmic equation calculator, log equation calculator, solve logarithmic equation, algebra math, algebra solve logarithmic equation
Inputs
Results update when you click Solve.
x
32.000000
log_2.0000(x) = 5.0000 → x = 2.0000^5.0000 = 32.000000
Steps
| Step | Detail |
|---|---|
| 1 | log_2.0000(x) = 5.0000 |
| 2 | x = 2.0000^5.0000 |
| 3 | x = 32.000000 |
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What this result means
Solve log_b(x) = c for x by exponentiating both sides. log_b(x) = c ⟺ x = bᶜ.
Assumptions
- Rule dependency: Universal formula.
Method
log_b(x) = c ⟺ x = bᶜ.
Example
log₂(x) = 5 → x = 32.
Frequently asked questions
Natural log?+
Use base e ≈ 2.71828 for ln(x) = c.