Science Academy
☰✕

Logarithm Calculator

𝑥 Algebra. Use the Logarithm formula to find log, base b, x: pick the value you want, type the others, and the answer updates as you go.

y=log⁡bx  ⟺  by=xy = \log_{b} x \iff b^{y} = x
log3

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
logno unit
Base bno unit
xno unit

Worked example

Find the log when Base b = 10, x = 1000.

Using y = x ⇔ b^y = x: log = 3.

Frequently asked questions

What is the formula for Logarithm?

y = x ⇔ b^y = x.

What do the letters stand for, and what units are used?

log, Base b, x.

How do you calculate log?

Put the values into y = x ⇔ b^y = x. For example, with Base b = 10, x = 1000, log = 3.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (log, base b, x) and fill in the others: it rearranges the formula for you.

All maths formulas in the Maths Formulas