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Molodets [167]
3 years ago
15

Which equation has x=-6 as the solution? A-logx36=2. B-log3(2x-9)=3. C-log3 216=x. D-log3(-2x-3)=2

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0
I posted this to your other question as well:

So we have:

A) \log_x(36)=2

B) \log_3(2x-9)=3

C) \log_3(216)=x

D) \log_3(-2x-3)=2

We need to try x = –6 in each equation until we find a solution that makes both sides of the equation equal.

For A, this gives an undefined result. Logarithms are only defined for bases that are positive real numbers not equal to 1.

For B, this again gives an undefined result. The logarithm of a number is only defined when that number is a positive real number. It would be –21, which is undefined.

For C, we have a defined operation, but \log_3(216)=4.893 \neq -6.

Finally, for D, we have 

\log_3(-2(-6)-3)=2\\ \log_3(9)=2 \\ 3^2=9 \\ 9=9

This is true.
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3x−12≥15<br><br> 2x−5≤9<br><br> 5x+8≤53<br><br> 3x−5≥16
zalisa [80]

Answer:

Step-by-step explanation:

A) 3x−12≥15

3x ≥ 15 + 12

3x ≥ 27

or x≥ 9

B) 2x−5≤9

2x ≤ 9 +5

2x ≤ 14

or x ≤ 7

C) 5x+8≤53

5x ≤ 53 -8

5x ≤ 45

or x ≤ 9

D) 3x−5≥16

3x ≥ 16 + 5

3x ≥ 21

or x ≥ 7

Have a good day!

8 0
3 years ago
which translation vectors could have been used for the pair of figures? PLEASE HELP I NEED A GOOD GRADE
kolbaska11 [484]

That would be  d or  f  answer.

5 0
3 years ago
Read 2 more answers
Find the quotient 7/9 divided by 5/6
Blizzard [7]
7/9 divided by 5/6 = 14/15
in decimal for it would be 0.93
3 0
3 years ago
A+b=77,a-b=13 care sun nr
STALIN [3.7K]
It's a simultaneous equation:
Steps:
1.Number the equations..

a+b=77 -1
a-b=13 -2

2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together

a + b = 77
+ + +
a (-b) = 13

Which gives;
2a = 90

Then solve to find a:
2a=90
a= 90/2
a=45

3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.

a + b = 77
(45) + b = 77
b=77-45
b=32

4.Solution

a=45
b=32
3 0
3 years ago
If 4 − 7x is 5 less than 23, what is the value of 3x ?
adelina 88 [10]
4- 7x = 23- 5

4 - 7x = 18

-4 = -4

-7x = 14

/-7 = /-7

X = -2

3x = -6
8 0
2 years ago
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