What is the domain of y=log5x
all real numbers less than 0
all real numbers greater than 0
all real numbers not equal to 0
all real numbers

The correct option is 2.

Step-by-step explanation:

The given function is

It is an logarithmic function. If a logarithmic function is defined as

Where, a is base of log and b>0 is constant.

Then, the domain of the function is all real numbers greater than 0, because the logarithmic function is not defined for any negative number.

Since the given function is a logarithmic function, therefore the domain of the function is all real numbers not equal to 0.

Therefore option 2 is correct.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

use a calculator or a graph