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3 years ago

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

Mathematics

1 answer:

Ilia_Sergeevich [38]3 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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3. Solve 2log4y - log4 (5y - 12) = 1/2​

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