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denis23 [38]
3 years ago
9

Given that

5" alt="2 {}^{x} = 0.125" align="absmiddle" class="latex-formula">
Find x
​
Mathematics
2 answers:
Luda [366]3 years ago
5 0
Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
iris [78.8K]3 years ago
5 0

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3

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Please help will give brainliest answer
IgorC [24]

Answer:

42.5 units^2

Step-by-step explanation:

We can split up this shape into smaller ones.

First we can start with the large rectangle on top

We know its 9 by 3.5

9x3.5=31.5

The large rectangle is 31.5, at the end we'll add them all together

Next we can work on the small triangle on the bottom left

Area= bh/2

Both the base and height are 2, 2x2=4   4/2=2, The area of that triangle is 2

Now we can work on the triangle on the bottom right. This time the base is 5

5x2=10   10/2=5, The area of that triangle is 5

Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.

Now we know the small square is 2 by 2. 2x2=4 The square's area is 4

Now we add them all up.

31.5+2+5+4=42.5

8 0
3 years ago
Write the following inequality in slope-intercept form. –6x + 2y ≤ 42
Stella [2.4K]
Hope it helps!
#MissionExam001

6 0
3 years ago
Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000
Kobotan [32]
If Bryan wants to make $2000 dollars then he needs to solve this equation:

2000=500+150x
-500   -500

1500=150x   divide by 150 on both sides

x=10

10 cars
  
3 0
3 years ago
Read 2 more answers
Sharon bought 100/300/100 policy with a $100 deductible on collision and $100 deductible on comprehensive coverage.
Ronch [10]
The answer would be 1,928.85
8 0
2 years ago
6/11 of students are at a school are girls . If there are 1309 students at the school , how many are boys
Alexandra [31]
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3 0
3 years ago
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