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Solve the following

4 logx + 8 logy = 5
6 logx - 6 logy = -3

1 Answer

6 votes

4 logx + 8 logy = 5

6 logx - 6 logy = -3 (divide both sides by 6)

logx - logy = -1/2

logx = logy - 1/2 (plug into the first eq)

4(logy - 1/2) + 8logy = 5

4logy - 2 + 8logy = 5

12logy = 7

logy = 7/12

y = 10^(7/12) ~ 3.831

logx = logy - 1/2 = 1/12

x = 10^(1/12) ~ 1.212

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