Exponent Calculator | Powers Roots Logarithms

Exponent Calculator

Calculate powers, roots, and logarithms

Power (x^n)

1024
2¹⁰ = 1024

Root (ⁿ√x)

12
Square root of 144

Logarithm

( )
3
log₁₀(1000) = 3

Natural Logarithm (ln)

ln( )
1
Natural log (base e)

Exponent Rules

Power Rules

x^a × x^b = x^(a+b), x^a / x^b = x^(a-b), (x^a)^b = x^(ab), x^0 = 1, x^(-n) = 1/x^n

Root Rules

ⁿ√x = x^(1/n), ⁿ√(xy) = ⁿ√x × ⁿ√y, ⁿ√(x/y) = ⁿ√x / ⁿ√y

Logarithm Rules

log(xy) = log(x) + log(y), log(x/y) = log(x) – log(y), log(x^n) = n×log(x), log_b(x) = ln(x)/ln(b)