Mathematics, 11.06.2020 18:57 OlamideO3

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

Answers: 3

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Answer from: mads3499

The first option is correct because that table of values represents the graph of a logarithmic function in the form $y=\log_b x,b1$ .

Given:

The lograrithmic function form is $y=\log_b x,b1$ .

To find:

The table of values that represents the graph of a logarithmic function in the form $y=\log_b x,b1$ .

Explanation:

It is given that . Let b=2 , then

$y=\log_2 x$ ...(i)

Substitute $x=\dfrac{1}{8}$ in (i), we get

$y=\log_2 \dfrac{1}{8}$

$y=\log_2 \dfrac{1}{2^3}$

$y=\log_2 2^{-3}$

y=-3

Substitute $x=\dfrac{1}{4}$ in (i), we get

$y=\log_2 \dfrac{1}{4}$

$y=\log_2 \dfrac{1}{2^2}$

$y=\log_2 2^{-2}$

y=-2

Substitute $x=\dfrac{1}{2}$ in (i), we get

$y=\log_2 \dfrac{1}{2}$

$y=\log_2 2^{-1}$

y=-1

Substitute x=1 in (i), we get

$y=\log_2 1$

y=0

Substitute x=2 in (i), we get

$y=\log_2 2$

y=1

The table of values is:

$\dfrac{1}{8}$

$\dfrac{1}{4}$

$\dfrac{1}{2}$

Therefore, the first option is correct.

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Answer from: isaiahb30

The satisfied table of the given function $y = log_{b} (x)$

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

y -3 -2 -1 0 1

Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

y = -3

ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

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

$y = log_{2} (1 )$ = 0

y = 0

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

$y = log_{2} (2 )$

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

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

Answer from: Quest

11123355543321112345566444

Answer from: Quest

this is answer of 144 cubic meters

Ineed it’s for a test get back to be as soon as possible

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