logbn
Logbn denotes the logarithm of n with base b, written as log_b(n). It is the inverse of the exponential function with the same base, b^x. By definition, log_b(n) = x if and only if b^x = n, with n > 0, b > 0, and b ≠ 1.
Domain and range: The argument n must be positive, while the base b must satisfy b > 0
Change of base and identities: A common tool is the change-of-base formula log_b(n) = ln(n)/ln(b) for any
Examples and applications: log_2(8) = 3 and log_10(100) = 2. Logarithms are used to solve exponential equations, analyze