Formula
log_b(xy/z)=log_b x+log_b y−log_b z.
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Positive real arguments; numerical expansion of one product quotient.
Example Calculation
Example inputs
- Base: 10
- x: 100
- y: 10
- z: 10
Base = 10; x = 100; y = 10; z = 10. Primary result: 2.
Frequently asked questions
How do I use this calculator?
Enter base, x, y, z. The result updates automatically. Use Reset to restore the example values.
What method does it use?
log_b(xy/z)=log_b x+log_b y−log_b z.. Positive real arguments; numerical expansion of one product quotient.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.