Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

The first option is correct because that table of values represents the graph of a logarithmic function in the form .

Given:

The lograrithmic function form is .

To find:

The table of values that represents the graph of a logarithmic function in the form .

Explanation:

It is given that . Let , then

         ...(i)

Substitute in (i), we get

Substitute in (i), we get

Substitute in (i), we get

Substitute in (i), we get

Substitute in (i), we get

The table of values is:

Therefore, the first option is correct.

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The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

Step-by-step explanation:

Explanation :-

Given logarithmic function   if b >1

Given first table

i)

put x =     given b > 1 so we can choose b = 2

we will apply logarithmic formula

log x ⁿ = n log (x)

y = -3

ii)

put x =     given b > 1 so we can choose b = 2

we will apply logarithmic formula

log x ⁿ = n log (x)

y = -2

iii)

put x =     given b > 1 so we can choose b = 2

we will apply logarithmic formula

log x ⁿ = n log (x)

y = -1

iv)

put x = 1     given b > 1 so we can choose b = 2

= 0

y = 0

v)

put x =     given b > 1 so we can choose b = 2

y = 1

Final -

The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

∈3,600

step-by-step explanation: