SOLUTION: Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth. log2 7x + log2 x = 3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth. log2 7x + log2 x = 3      Log On


   

Question 314201: Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
log2 7x + log2 x = 3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%287x%29%29%2Blog%282%2C%28x%29%29=3
log%282%2C%287x%5E2%29%29=3
7x%5E2=2%5E3
7x%5E2=8
x%5E2=8%2F7}
x=sqrt%288%2F7%29
x=2%2Asqrt%282%2F7%29
Note the negative square root is not a solution since the log function requires non-negative values.
x=1.07 to the nearest hundredth