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1 year ago

Write the equation 6561 1/4= 9 in logarithmic form.

Mathematics

1 answer:

Vlad1618 [11]1 year ago

8 0

Answer:

b. log6561(9) = 1/4

Step-by-step explanation:

The relationship between the exponential form and the log form is ...

$b^n=x\\\log_b{(x)}=n$

The exponent is the logarithm. The base is the value the exponent is being applied to.

Here, you have ...

$6561^{\frac{1}{4}}=9$

Comparing this to the form above, we see ...

b = 6561, n = 1/4, x = 9

so the log form of the equation is ...

$\boxed{\log_{6561}{(9)}=\frac{1}{4}}$

This matches choice B.

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1 year ago

Billy Jo's school is selling tickets to a Fall Festival. On the first day of ticket sales the school sold 3 adult ticket and 8 s

denis23 [38]

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?

Day 1: 3x + 7y = 72

Day 2: 7x + 16y = 152

This becomes a system of equations.

3x+8y=72

3x+8y+−8y=72+−8y (Add -8y to both sides)

3x=−8y+72

3x/3 = −(8y+72)/3

X = (-8/3) y + 24

Substitute (-8/3) y + 24 for x in7x+16y=152:

7(-8/3 y + 24) + 16y = 152

-8/3 y + 168 = 152 (Simplify both sides of the equation)

-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)

-8/3 y = -16

(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)

y = 6

If you wanted to keep going...

Substitute 6f or y in x = (-8/3) y + 24

(-8/3) y + 24 = (-8/3) (6) + 24

SImplify: x = 8

X = 8 and Y = 6

Hope this helps! ♥

~A.W.E.S.W.A.N~

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2 years ago

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1 year ago

What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4

valkas [14]

Hi there!

5k - 2k = 12
Solve for K
3k = 12
Divide both sides by 3
3k/3 = 12/3
k = 4
The correct answer is : 4

I hope that helps!
Brainliest answer :)

8 0

1 year ago

Read 2 more answers

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

ipn [44]

Answer:

We have to determine the graph of the given inequality as:

$x^2+2x+1>0$