Choose what you want to find: the log result, the power value, or the missing base. The calculator keeps base, value, and exponent labels visible so the formula is easy to follow.
Logarithm solver
Log result y
3.00
Equation
log_10(1,000) = 3.00
Use base and value to find the exponent.
Start with the question, then adjust the three related numbers below.
Tap a familiar case to see how the numbers connect.
In log_b(x) = y, b is the base, x is the value, and y is the exponent.
Log result y
3.00
log_10(1,000) = 3.00
Power value x
1,000
10^3 = 1,000
Solved base b
10.00
1,000^(1 / 3) = 10.00
| Exponent | Value |
|---|---|
| 0 | 10^0 = 1 |
| 1 | 10^1 = 10 |
| 2 | 10^2 = 100 |
| 3 | 10^3 = 1,000 |
| 4 | 10^4 = 10,000 |
See whether the value is closer to the lower or upper exact power.
Lower power
10^2
100
Upper power
10^3
1,000
A logarithm answers one question: how many times should the base be multiplied to reach the value? If log10(1000) = 3, it means 10^3 = 1000.
log usually means base 10 in many calculators, while ln always means the natural log with base e.
Multiplying 1 by itself never changes the value, so it cannot describe a useful power relationship.
Yes. Decimal bases and values are common in growth, decay, science, finance, and data scale calculations.
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