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

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00