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Logarithms Definition Example

Question:

What is the domain of this function?

Solution:

Find the domain of the function y:

equation1:

(2x + 3) > 0

2x > -3

x > -1.5

equation2:

(2x + 3) not equal to 1

2x not equal to -3 + 1

x is not equal to -1

equation3:

x < log₂3

So the domain of function y is:

Rules used to solved this problem: