SOLUTION: Sara solved the following equation and knows she made a mistake. Explain to her where her error was and then solve the equation correctly.
log6(x+1)-log6x=log6 7
log6x(x+1)=log6
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Question 950781: Sara solved the following equation and knows she made a mistake. Explain to her where her error was and then solve the equation correctly.
log6(x+1)-log6x=log6 7
log6x(x+1)=log6 7
x(x+1)=7
x to the 2 power +x+1=7
x to the 2 power +x-6=0
(x-2)(x+3)=0
x=2,-3
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Sara solved the following equation and knows she made a mistake. Explain to her where her error was and then solve the equation correctly.
log6(x+1)-log6x=log6 7
log6x(x+1)=log6 7 ********* Should be log( (x+1)/x ) = log(7)
x(x+1)=7
x to the 2 power +x+1=7
x to the 2 power +x-6=0
(x-2)(x+3)=0
x=2,-3
-------------
log6(x+1)-log6x=log6 7
log6(x+1)-log6(x)=log6(7)
log( (x+1)/x) = log(7)
(x+1)/x = 7
x+1 = 7x
x = 1/6
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
-----how should have been
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