log x (b) = n, x =? – Logarithm of b to base x – calculator online

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How to solve the logarithmic equation log x b = n?

logx b is logarithm of b to base x

n is the exponent to which you need to raise base a to get x.

log b = n ⇔ xn = b ⇒ x = b(1/n)

Examples:

log 2 = 2 ⇔ x2 = 2 ⇒ x = 2(1/2) = 1.414

log 2 = 3 ⇔ x3 = 2 ⇒ x = 2(1/3) = 1.260

log x √2 = 2 ⇔ x2 = √2 ⇒ x = √2(1/2) = 1.189

log 8 = 3 ⇔ x3 = 8 ⇒ x = 8(1/3) = 2