_________ is a method that finds the derivative of the logarithm of the function rather than the original function*Logarithmic functionExponential functionLogarithmic DifferentiationNone of the choices

Is the logarithmic function , where  an increasing or decreasing function, or neither? Explain using .

In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 103, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation.The logarithm base 10 is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number e ≈ 2.718 as its base; its use is widespread in mathematics and physics, because of its very simple derivative. The binary logarithm uses base 2 and is frequently used in computer science.

What is the logarithmic form of:

The logarithmic expression

Does the logarithmic function , where , have turning point(s)? Explain using .