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2xlog2/xlog3=log2

 Jan 13, 2015

Best Answer 

 #1
avatar+130536 
+5

Interpreting this as [2xlog2] / [xlog3]=log2   multiply both sides by x log3 and divide both sides by log2

[ 2x log 2] / [log 2 ] = x log 3    simplify

2x  = x log 3     subtract log 3 from both sides

2x  - x log 3 = 0   factor

x (2 - log 3 ) = 0   so x = 0

But x cannot = 0  because it makes the denominator on the LHS of the original problem undefined....so this has no solution.....

 Jan 13, 2015
 #1
avatar+130536 
+5
Best Answer

Interpreting this as [2xlog2] / [xlog3]=log2   multiply both sides by x log3 and divide both sides by log2

[ 2x log 2] / [log 2 ] = x log 3    simplify

2x  = x log 3     subtract log 3 from both sides

2x  - x log 3 = 0   factor

x (2 - log 3 ) = 0   so x = 0

But x cannot = 0  because it makes the denominator on the LHS of the original problem undefined....so this has no solution.....

CPhill Jan 13, 2015

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