# What is the range of y=log8x, ? all real numbers less than 0 all real numbers greater than 0 all real numbers not equal to 0 all real numbers

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## Question:

What is the range of y=log8x, ? all real numbers less than 0 all real numbers greater than 0 all real numbers not equal to 0 all real numbers

To find the range we will solve by using the log rule. The range of y= log 8x is for all real values.

Given:

y=log8x

According to the questions it is required to find the range of the function.

### How to find the range of a function?

The range is a set of all the defined values of y-correspond to the domain.

Now by applying log rule we get Where we know the domain of log x= {x∈R| (0,∞)

all the positive real values.

Domain = {x∈R|x } =(0,∞)

Range = {y|y∈R}=(-∞,∞)

i.e.all real values.

Therefore, Range of y={y|y∈R}=(-∞,∞) i.e.all real values. 