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icang [17]
3 years ago
11

7^x^2=9^x how do I solve this using logs

Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0
Apply lg on both sides.
lg7^x^2 = lg9^x
Bring the power forward.
x^2lg7 = xlg9
x^2/x = lg9/lg7
x = lg9/lg7 = 1.13
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Captain Sparrow and his pirate crew dug up several gold coins. They are dividing the coins amongst themselves so that each perso
Dahasolnce [82]

Answer: 150 coins

Step-by-step explanation: let the number of captain Sparrow and the crew = c

The number of gold = g

This mean each person will get g/c

If there were four fewer pirates, then each person would get 10 more coins means

g/(c - 4) = g/ c+ 10

cg = (c-4)(g+10c) ....... (1)

However, if there were 50 fewer coins, then each person would get 5 fewer coins.

(g - 50)/c = g/c - 5

g - 50 = g - 5c

5c = 50

c = 10

Substitute c in equation 1

cg = (c-4)(g+10c) ....... (1)

10g = (10 - 4)(g + 10×10)

10g = 6× (g + 100)

10g = 6g + 600

4g = 600

g = 150 gold coin.

Therefore they dig up 150 gold coin

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%2030%20%3D%202%28x%20-%2097%29" id="TexFormula1" title=" - 30 = 2(x - 97)" alt=" - 30 = 2
Korolek [52]
Hey there! 

In order to find out the answer to this question, we can distribute 

-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197

Flip your problem around! 

2x - 194 = -30

Add by 194 on each of your sides 

Like:  2x - 194 + 194 \\ \\ \\ -30 + 194

Cancel out: -194 + 194  because they would give you the outcome of 0

Keep: -30 + 194 [/tex] because that'll give you: [tex]164

Your problem becomes: 2x = 164

Now, we have to divide by 2 on each of the sides

Like: \frac{2x}{2}  =  \frac{164}{2}

Cancel: \frac{2x}{2} because it will give you a outcome of 1

Keep: \frac{164}{2} because this will give you your answer

Answer: x = 82

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
7 0
3 years ago
BRAINLIEST***
ANTONII [103]

Answer:

C, ON/MN

Step-by-step explanation:

Since tan is opposite/adjacent, and the opposite of angle M is NO, then NO must be the numerator. The only answer with this as the numerator is C.

7 0
3 years ago
Read 2 more answers
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
Convert 9.56 into a percentage
Drupady [299]
9.56 can be split into 9 , 0.5 , and 0.06

therefore the percentage will be 956%
4 0
3 years ago
Read 2 more answers
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