Exponential and Log Equations + Condensing and Expanding

6

No Solution

log (12x^2)

(2log3-3log5)/(log3-2log5)

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

The inverse operation to exponentiation, defined as log_b(a) = c if and only if b^c = a.

log_b(m) + log_b(n) - The logarithm of a product is the sum of the logarithms.

log_b(m) - log_b(n) - The logarithm of a quotient is the difference of the logarithms.

k * log_b(m) - The logarithm of a power is the exponent times the logarithm of the base.

The logarithm to the base e, denoted as ln(x), where e is approximately 2.718.