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KiRa [710]
2 years ago
5

What is the solution of logx 729=3? The answer is 9 (B) on edge.

Mathematics
1 answer:
lana66690 [7]2 years ago
5 0

Answer:

x = 9

Step-by-step explanation:

using the rule of logarithms

log_{b} x = n ⇒ x = b^{n}

given

log_{x} 729 = 3 then

729 = x³

note 729 = 9³ , so

9³ = x³ ( equating the bases) , gives

x = 9

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Answer:

Dorsey = 4.8 hours

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Step-by-step explanation:

It takes "x" hours for Dorsey

So, it will take 5 times more for Campbell, so

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Rate is inverse of time, so rates are:

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Campbell: 1/5x

We know Rate * Time = Work

When together, it takes 4 hours to finish a work, so we can write:

(\frac{1}{x}+\frac{1}{5x})4=1

Solving for x, we get the time of Dorsey:

(\frac{1}{x}+\frac{1}{5x})4=1\\(\frac{1}{x}+\frac{1}{5x})=\frac{1}{4}\\\frac{5+1}{5x}=\frac{1}{4}\\\frac{6}{5x}=\frac{1}{4}\\5x=24\\x=4.8

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7 0
3 years ago
What is the length of b
oksian1 [2.3K]

Answer:

b = 24

Step-by-step explanation:

<u>Concepts</u>

The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation a^2+b^2=c^2. We can also use this formula to solve for the other two legs in the right triangle.

<u>Application</u>

In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.

<u>Solution</u>

Step 1: Set up equation and simplify.

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Step 2: Subtract 100 from both sides.

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Step 3: Take square root of both sides.

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