171k views
1 vote
The exponential form of the function y=log_(2)(x-5)

1 Answer

2 votes

Final answer:

To convert the logarithmic function y = log2(x - 5) to exponential form, rewrite it as 2^y = x - 5, where 2 raised to the power of y is equal to x minus 5.

Step-by-step explanation:

To converting a logarithmic function into its exponential form. Given the function y = log2(x - 5), we can convert this to exponential form by using the properties of logarithms and exponents. We know that logarithms are the inverse function of exponentiation, so we can rewrite this equation as 2y = x - 5. This is the exponential form of the given function, and it tells us that 2 raised to the power of y will give us the value of x minus 5.

Additional properties that can be useful in different contexts include the logarithm of a product, the logarithm of a quotient, and the logarithm of a power. For example, log(xy) = log x + log y, log(x/y) = log x - log y, and log(xn) = n · log x. However, these are not directly related to converting the given function to its exponential form.

User Souvik Ray
by
7.3k points