Question

Solve the following 4 logx + 8 logy = 5 6 logx - 6 logy = -3

Answer 1

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