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

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

log_a x is logarithm of x to base a

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

log _a x = n ⇔ aⁿ = x ⇒ x = aⁿ

Examples:

log ₃ x = 1 ⇔ 3¹ = x ⇒ x = 3¹= 3

log ₃ x = 3 ⇔ 3³ = x ⇒ x = 3³= 27

log ₅ x = 4 ⇔ 5⁴ = x ⇒ x = 5⁴= 625

log _a b = x

log _x b = n,  x=?