Question

What is logarithmic graph

`y=\log\left(x\right)`

Answer 1

Graph is attached

Explanation:

we are given

`y=log(x)`

we know that base of log is 10 by default

Domain:

we know that domain is all possible values of x for which any function is defined

and we know that value inside log should always be positive and greater than 0

so, we get domain as

`(0,\infty)`

Range:

we know that range is all possible y-values

log value be negative positive or zero

so, range will be

`(-\infty,\infty)`

x-intercept:

we can set y=0

and find x

`0=log(x)`

`10^0=10^(log(x))`

`x=1`

y-intercept:

we can plug x=0 and find y

`y=log(0)`

now, we can draw graph

Graph: