SOLUTION: Solve equation: log base 2 of X plus log base 2 of (3X+1) = 1 Answer in my book says, 2/3

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Question 980591: Solve equation:
log base 2 of X plus log base 2 of (3X+1) = 1

Answer in my book says, 2/3

Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!



Use rule 1














Use the quadratic formula to get the solutions or


The value is NOT allowed because logs aren't defined when you plug in negative x values


The only solution is


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

Convert to a log to base 2





Use quadratic equation:







---------------
Using the negative square root:






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