Log Calculator

CaliforniaCalculator.net

Evaluate logarithms or reverse them with an inverse-log calculation.

Logarithm inputs

Results

Equivalent exponential form10^3 = 1000

Common log (base 10)3

Natural log (ln)6.908

Binary log (base 2)9.966

Calculation breakdown

Start with y = log base 10 of 1000.
Use change of base: y = ln(1000) / ln(10).
Divide 6.908 by 2.303.
The result is 3; checking 10^3 returns 1000.

Interactive function explorer

y = log base 10 of x

The logarithmic curve crosses (1, 0). The selected argument is shown as a highlighted point. Move across the graph or use the slider to inspect nearby values.

Point being explored(1003.149, 3.001)

Your calculated pointPoint being explored

Input1003.149

Output3.001

Local slope4.33e-4

Difference from result+0.001

Equation for the explored point

Logarithmic formlog₁₀(1003.149) ≈ 3.001

Equivalent exponential form10^3.001 ≈ 1003.149

Explore the curveUse arrow keys for precise movement

View accessible chart data

Representative points for y = log base 10 of x
Input	Output
0.01	-2
34.732	1.541
138.898	2.143
312.508	2.495
555.561	2.745
868.059	2.939
1250	3.097

Logarithms are dimensionless, so Metric and Imperial unit selectors do not apply. Results are displayed to 2-3 decimal places.