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Rufina [12.5K]
2 years ago
13

Can someone help me solve this logarithm function

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

\boxed{\sf{x=\dfrac{25}{2}=12.5}}

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

<h3>log x + log8=2</h3>

\sf{\log _{10}(x)+\log _{10}(8)=2}

<u>First, subtract by log₁₀(8) from both sides.</u>

\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}

<u>Solve.</u>

\sf{\log _{10}(x)=2-\log _{10}(8)}

\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}

  • <u>Therefore, the correct answer is x=25/2=12.5.</u>

I hope this helps you! Let me know if my answer is wrong or not.

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What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

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2 years ago
Estimate the measure of the angle ?<br><br>85<br>70<br>235<br>310​
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Answer: 235 would be the estimate

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3 years ago
Is how many sixth graders attend your school a statistical question?
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Yes, any question that involves numbers would be a statistical question. 
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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