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pychu [463]
2 years ago
11

3. Solve 2log4y - log4 (5y - 12) = 1/2​

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
4 0

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

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Answer:

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Step-by-step explanation:

3.28 is located towards the positive side of the number line being a positive value. Since the value is located between 3.2 and 3.4, therefore it can be plotted between this two points.

Also 3.28 is known to be closer to 3.0 than 4.0 because the difference between 3.28 and 3.0 is lower than the difference between 3.28 and 4.

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3.28 - 3.2 = 0.08(smaller)

3.4-3.28 = 0.12(larger)

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