SOLUTION: Please I need help in solving this step by step
log 3 (x+5) = 2 -log 3 (6x-2)
Lorri
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Question 1017920: Please I need help in solving this step by step
log 3 (x+5) = 2 -log 3 (6x-2)
Lorri
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
add log 3 (6x-2) to each side
log 3 (x+5) + log 3 (6x-2) = 2
Notice that log 3(9) = 2, so substitute in above
log 3 (x+5) + log 3 (6x-2) = log 3(9)
log 3( (x+5)(6x-2) ) = log 3(9)
(x+5)(6x-2) = 9
6x^2 -2x + 30x - 10 = 9
6x^2 + 28x - 10 = 9
add -9 to each side
6x^2 + 28x - 19 = 0
using quadratic equation we get two roots,
only one positive
x =
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