solve the log 2logxlog2x1010Solution2logxlog2x1010 Use the l

solve the log: 2logx-log(2x-10)-1=0

2logx-log(2x-10)-1=0

Use the log property : a*logx = logx^a

logx^2 - log(2x -10) =1

use the log property: logA - logB = Log(A/B)

So, log(x^2/(2x -10) =1

x^2/(2x-10) = 10^1

x^2 = 10(2x -10)

x^2 -20x +100 =0

x^2 - 10x -10x +100 =0

x(x-10) -10(x-10) =0

(x-10)^2 =0

x = 10 (solution)