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gulaghasi [49]
2 years ago
12

What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.

Mathematics
1 answer:
sammy [17]2 years ago
4 0

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

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Which ordered pair is the solution to the system of equations?
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To find the solution, we use the substitution method. 

x+y=-1
<span>x-3y=11
</span>
x+y = -1-y
  -y       

x = -1-y

Now apply the value of x into the other equation.

x-3y=11
-1-y-3y = 11

Combine like terms

-4y -1 = 11
       +1    +1
-4y = 12

-4y = 12
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y = -3

Now, apply the value of Y to one equation to find x.

y = -3

x -3 = -1
   +3   +3  
 
x= 2

Now we have the value for both, x and y.
x = 2
y =-3

Final answer: A. <span>(2, −3)</span>
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3 years ago
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2 years ago
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Aleksandr [31]

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4 0
2 years ago
Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b
Neporo4naja [7]

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

7 0
3 years ago
Lynne used three eights cup of flour and one third cup of sugar in a recipe. what number is a common denominator for three eight
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Your answer is 24 my dude
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2 years ago
Read 2 more answers
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