Question

Describe the domain of the logarithmic function, y = log10 x.

all numbers greater than or equal to zero
all numbers less than zero
all numbers greater than zero

Answer 1

The domain for logarithm is x has to be greater than zero

Answer 2

Explanation:

A logrithmic function is defined only for positive numbers. Irrespective of base, log function has domain always numbers greater than 0.

Here given is log x to base 10.

This is not defined for x =0 or x <0

x=0 will be an asymptote for log x.

x<0 will not have any definition in log

So domain is all positive numbers >0

When x =10, log x = 1 and for x =1, log =0

Thus passes through (1,0) and (10,1)

For x<1, y log x has negative values.