Final answer:
The exponential form of 'log39=2' is written as '3^2 = 9'. It can be solved directly, as it merely states that 3 raised to the power of 2 equals 9 which is true. There are several properties of logarithms, such as the sum and difference of logarithm of numbers, that can assist in solving and simplifying such equations.
Step-by-step explanation:
The question asks to rewrite the equality 'log39=2' in exponential form and then solve the equation. In mathematics, the exponential form of a logarithm is given by 'base^logarithm = number'. Therefore, the exponential form of 'log39=2' would be '3^2 = 9'. The equation '3^2 = 9' can be solved directly as it states that 3 raised to the power 2 equals 9, which is factually correct.
There are several properties of logarithms and exponentials that can be used during the solving process. For example, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers: log xy = log x + log y, and the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.
Learn more about Logarithms and Exponentials