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xxMikexx [17]
3 years ago
11

Solve log base 5 of 3x+1 =2

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0
If you are using the app, see this answer through your browser:  brainly.com/question/2753331

_______________


Solve the equation:

\mathsf{\ell og_5(3x+1)=2}\\\\\\
\mathsf{3x+1=5^2}\\\\
\mathsf{3x+1=25}\\\\
\mathsf{3x=25-1}\\\\
\mathsf{3x=24}\\\\
\mathsf{x=\dfrac{24}{3}}\\\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the answer.}



Solution set:  S = {8}.


I hope this helps. =)

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The triangles shown have the same perimeter. What is the value of x?
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Answer:

18

Step-by-step explanation:

Since you know the perimeters are equal, write your equation.

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combine like terms

3x + 18 = 4x

isolate your x by subtracting 3x from each side

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check your answer:

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Step-by-step explanation:

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2 years ago
Find three consecutive odd integers where the sum of the two largest is seven less than three times the smallest.
Basile [38]

Answer:

<h3>              13, 15, 17</h3>

Step-by-step explanation:

x    - an integer  then  2x + 1 is an odd number  (the smallest one)

consecutive odd numbers increase by 2

so the next odd number (the middle number) is:

2x + 1 + 2 = 2x + 3

and the third (the largest) consecutive is:

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the sum of the the two largest numbers is:

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3 times the smallest number is:  

3(2x + 1)  

the sum of the two largest is seven less than three times the smallest, so:

2x + 3 + 2x + 5 = 3(2x + 1) - 7

4x + 8 = 6x + 3 - 7

   -6x       -6x

-2x + 8 = -4

   -8       -8

-2x  = -12

÷(-2)    ÷(-2)

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