What is logarithmic graph y=\log\left(x\right)

Question

asked Aug 13, 2019 184k views

1 Answer

Ajsie · Answer 1 · 2019-08-18T07:42:31+0000

Answer:

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)

y=undefined

now, we can draw graph

Graph:

$What is logarithmic graph y=\log\left(x\right)-example-1$