How is square root function and logarithmic function similar

1 answer:

4 0

When graphed, the logarithmic function is similar in shape to the square root function, but with a vertical asymptote as x approaches 0 from the right.

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Show work please ! :)

Papessa [141]

Answer:

$\dfrac{7}{3}$

Step-by-step explanation:

$\log_7(9p-5)=4\cdot \log_72$

$\log_7(9p-5)=\log_72^4 \\\\9p-5=2^4 \\\\9p-5=16 \\\\9p=21 \\\\p=\dfrac{7}{3}$

Hope this helps!

6 0

3 years ago

Please show steps to answer. No links please

Lana71 [14]

Answer:

18 hours after 10 AM

Step-by-step explanation:

We are looking for the time the helicopter and the plane will be the same distance from Burbank after 10 AM.
We are given the two equations for the distance that the helicopter and the plane are away, in miles.
It also says that R is the variable for time.
Using this information, we need to solve for the time with broth equations, so we would set both up to be equal to each other, since they will be the same distance away from each other.
It would look like this: -150r + 260 = -270r + 440.
Add 150r to both sides.
260 = -10r + 440.
Add -10r to both sides.
Now we have 10r + 260 = 440
Subtract 260 from both sides.
10r = 180
Divide each side by 10 to isolate the R.
R = 18.
It would be 18 hours after 10 AM.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

4 0

2 years ago

In a parking garage the number of suv's is 40% greater than the number of automobiles. there are 98 suv's. how many automobiles

chubhunter [2.5K]

A=automobile S=SUV
0.4A+A=98 (to change a percent to a decimal you move the decimal point two places to the right)
1.4A=98 (I combined like terms)
A=70 (divided each side by 1.4)

3 0

3 years ago

Write the equation for the line of best fit

Vsevolod [243]

Given:

The given graph shows the scatter points.

We need to determine the equation for the line of best fit.

Slope of the equation:

From the figure, it is obvious that the slope of the line is $m=2.33$