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Masja [62]
3 years ago
6

Solving Logarithmic Equations

Mathematics
1 answer:
True [87]3 years ago
4 0

Answer:

Step-by-step explanation:

3ln(4) = 2ln(x)

ln(4³) = ln(x²)

4³ = x²

(2²)³ = x²

2⁶ = x²

x = ±√2⁶ = ±2³ = ±8

However, the argument of a logarithm must be positive, so x=8.

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1 If it takes 48 hour to leak 8 liter water how many hour does it take to leak 15 liter water ? Show your steps .
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Answer:

answer is 90 hr for question 1

Step-by-step explanation

48 hr     8 liter

 ?           15 liter

so what ur going to do is u criss-cross when u do u multipy 48 with 15 and 8 with "?" when u multiply 48 with 15 u get 720 and when you multiply 8 with "?" u get 8?

so it will look like this

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let make "?" an "x" for a better understanding. so the reason we are making it an "x" is because we dont know the amount of hr it takes for 15 liters of water to leak.

let go back to the calculation.

so it will look something like this

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exactly the same thing but we made "?" an"x"

so now we divide both sides with 8. why? because we need "x" alone and want 8 to disappear

so when u divide both sides with 8 it will look something like this

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so when u divide 780 with 8 u get 90. so what does that mean? it means it takes 90 hr for 15 liters of water to leak.

do you understand?

5 0
3 years ago
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