Math

Powers, roots and logarithms

x to the power n, square and nth roots, logarithms and scientific notation in one place.

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<iframe src="https://calc.hod-group.com/embed/?hodtool=powers&amp;hodlang=en" title="Powers, roots and logarithms" loading="lazy" style="width:100%;max-width:720px;height:560px;border:0;border-radius:12px" data-hodcalc></iframe>
<p style="font:13px sans-serif;margin:6px 0 0">Calculator by <a href="https://calc.hod-group.com/en/power-root-logarithm/">HOD Calc</a></p>
<script async src="https://calc.hod-group.com/assets/embed.js"></script>

How it works

xⁿ, ⁿ√x = x^(1/n), log₁₀ x, ln x and logₙ x = ln x / ln n.

Results are for guidance only and do not replace professional advice.

Worked example

With the default values:

Number x64
Exponent or index n3

you get:

x to the power n262,144
nth root4
Square root8
Square / cube4,096 / 262,144

Frequently asked questions

How does the “Powers, roots and logarithms” tool work?

xⁿ, ⁿ√x = x^(1/n), log₁₀ x, ln x and logₙ x = ln x / ln n.

What do I need to enter?

Just fill in: number x, exponent or index n. The result updates as you type.

Can you give an example?

Number x: 64; Exponent or index n: 3 → x to the power n: 262,144; nth root: 4.

Is this calculator free, and is my data private?

Yes. HOD Calc is completely free with no sign-up. The calculation runs in your browser: nothing you type is sent or stored.