SOLUTION: Find the positive value of x that satisfies the equation Logx-log( x + 6)^1/2 = 0 All the log is in base 2

Question 1083742: Find the positive value of x that satisfies the equation Logx-log( x + 6)^1/2 = 0
All the log is in base 2
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

...........in base ,
.......if log same, we have

solutions:
if ->
if ->-> since log, disregard negative solution
so, your solution is

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Logx-log( x + 6)^1/2 = 0
Logx = log( x + 6)^1/2
x = sqrt(x+6)
x^2 - x - 6 = 0
etc
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