3. Solve 2log4y - log4 (5y - 12) = 1/2
1 answer:
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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Sorry but your question is unfinished
total length of the boards = 4 1/2 meters
Given:
number of boards = 5
length of each board = 9/10 meters
5 * 9/10 = (5*9)/10 = 45/10
Simplify fraction:
45/10 = 4 5/10 or 4 1/2 meters.
Answer:
<h2>40</h2>
Step-by-step explanation:
<h3>I think 40 because it's to long line</h3>