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-Dominant- [34]
3 years ago
10

What is the value of log0.5 16?

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
6 0

Answer:

log_0.5(16)=-4

Step-by-step explanation:

log_0.5(16)

0.5 can be written as 1/2

log_\frac{1}{2} (16) = log_{2^{-1}}(16)

We apply log property

log_{a^{-b}}(x)=\frac{1}{b}log_a(x)

so log_{2^{-1}}(16)=-1log_2(16)

Now  we write 16 in exponential form

16= 2*2*2*2 = 2^4

-1log_2(16)=-1log_2(2^4)

log a^m = m log (a),and log_a(a)= 1 Apply these properties

-1*4 log_2(2)

-1*4(1)= -4

melamori03 [73]3 years ago
4 0
 the answers is -4 ... i think
You might be interested in
Danielle runs 1/5 of a mile in 4.5 minutes. if she continues at the same speed, how long will it take her to run two miles?
motikmotik
(1/5) / 4.5 = 2 / m....1/5 mile to 4.5 minutes = 2 miles to m minutes
cross multiply
(1/5)(m) = (2)(4.5)
1/5m = 9
m = 9 * 5/1
m = 45 minutes <===
4 0
3 years ago
Please do them step by step;
ELEN [110]
For the first one c-9=(2)(4)+6
You are gonna multiply 2 and 4 first, 2*4=8. Now you have c-9=8+6. 8+6=14. So now the equation is c-9=14. Now we are going to add 9 to both sides. So c=23
For the second equation 10+y=90. We are going to subtract 10 from both sides. So, y=80.
Third, add 4 to both sides. a=10.
Fourth, subtract 8 from both sides. d=-9
Fifth, 5+2(3+4)=-x.
First we are going to add 3 and 4. 3+4=7. 5+2(7)=-x. Next we are going to multiply 2 and 7. 2*7=14. 5+14=-x. 5+14=19. So our equation is 19=-x. Next we are going to multiply both sides by -1. Making our final equation x=-19.
c=23
y=80
a=10
d=-9
x=-19
I hope that helps, if you need any further explanation just ask.<span />
3 0
3 years ago
Evaluate the expression when x-3<br> 4x2 - 14x + 4
Lady_Fox [76]

Answer:

82

Step-by-step explanation:

Evaluate 4 x^2 - 14 x + 4 where x = -3:

4 x^2 - 14 x + 4 = 4×(-3)^2 - -3×14 + 4

(-3)^2 = 9:

4×9 - 14 (-3) + 4

4×9 = 36:

36 - 14 (-3) + 4

-14 (-3) = 42:

36 + 42 + 4

| 1 |  

| 4 | 2

| 3 | 6

+ | | 4

| 8 | 2:

Answer:  82

6 0
2 years ago
Please help! please show the work and not give me and answer thank you ❤️
Citrus2011 [14]

Ans. 1 Angle E and angle F are corresponding angles.

Solution 2.

So,

angle E = angle F

=> x + 20 = 5x - 20

=> x + 20 + 20 = 5x

=> x + 40 = 5x

=> 40 = 5x - x

=> 40 = 4x

=> 40/4 = x

=> 10 = x

Solution 3.

E = x + 20

=> E = 10 + 20

=> E = 30

F = 5x - 20

=> F = 5(10) - 20

=> F = 50 - 20

=> F = 30

<em>Again</em><em> </em><em>justified</em><em> </em><em>that </em><em>they </em><em>are </em><em>equal</em><em> (</em><em> </em><em>besides</em><em> </em><em>answer </em><em>1</em><em>)</em><em>.</em>

8 0
3 years ago
Joe made 15 points in a basketball game, 3 points are given for a long shot, 2 points given for a field goal, and 1 point is giv
Vinil7 [7]
I tried to make a list and found 27 ways tell me if I missed any order is (3point,2point,1point) (0,0,15) (0,1,13) (0,2,11) (0,3,9) (0,4,7) (0,5,5) (0,6,3) (0,7,1) (1,0,12) (1,1,10) (1,2,8) (1,3,6) (1,4,4) (1,5,2) (1,6,0) (2,0,9) (2,1,7) (2,2,5) (2,3,3) (2,4,1) (3,0,6) (3,1,4) (3,2,2) (3,3,0) (4,0,3) (4,1,1) (5,0,0) 27 is my answer
5 0
2 years ago
Read 2 more answers
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