which of the following is a logarithmic function?\n$y = \\log_3 x$\n$y = 3^x$\n$y = x + 3$\n$y = x^3$
which of the following is a logarithmic function?\n$y = \\log_3 x$\n$y = 3^x$\n$y = x + 3$\n$y = x^3$
Answer
Explanation:
Step1: Recall the definition of a logarithmic function
A logarithmic function is of the form (y = \log_{a}x) ((a>0,a\neq1))
Step2: Analyze each option
- For (y=\log_{3}x), it is in the form (y = \log_{a}x) ((a = 3)), so it is a logarithmic function.
- For (y = 3^{x}), it is an exponential function (of the form (y=a^{x}), (a>0,a\neq1)).
- For (y=x + 3), it is a linear function (of the form (y=mx + b), (m = 1,b=3)).
- For (y=x^{3}), it is a power function (of the form (y=x^{n}), (n = 3)).
Answer:
(y=\log_{3}x)