Which is the slope-intercept form of the equation of the line?

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

alex41 [277]

Answer:

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

i)

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

v)

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

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

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

y -3 -2 -1 0 1

8 0

3 years ago

Read 2 more answers

Chad wants to buy some books over the Internet. Each book costs $10.01 and has a shipping cost of $9.96 per order. If Chad wants

inysia [295]

Answer:

9.96 + 10.01p ≤ 50, so p ≤ 4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The following selected transactions were completed during August of the current year:

gizmo_the_mogwai [7]

Answer:

The journal entries as well as the T-accounts for August transactions are found in the attached spreadsheet.

Step-by-step explanation:

Initially, the transactions were posted individually in the journal and ultimately the related ones were combined together in the T-accounts.

For instance, cash related transactions are posted in the cash T-account to ascertain the true cash position as at the end of the quarter.

Download xlsx

8 0

2 years ago

$1200 is invested at 3% compounded quarterly. What is the total amount, to the nearest dollar, after 5 years?

Mekhanik [1.2K]

The formula to calculate the amount is 1200(1+0.03/4)^5

8 0

3 years ago

So I have a math presentation in a couple of minutes do you have any advice to boost my confidence?

Sedaia [141]

Answer:

keep calm and believe in yourself

3 0

3 years ago