Question

Solve ln(4x-2x^(2))-ln(x)=ln(2x-1)

Answer 1

ln(a) - ln(b) = ln(a/b)

Answer 2

can you possibly show me the steps of this problem

Answer 3

\[\ln(4x - 2x^2) - \ln(x) = \ln(2x-1)\]
\[\ln((4x-2x^2)/x) = \ln(2x-1)\]
\[\ln(4-2x) = \ln(2x-1)\]
\[4-2x = 2x-1\]
\[4 = 4x -1\]
\[ 5 = 4x\]
\[5/4 = x\]

checking if x=5/4 satisfies the equation
\[\ln (4 - 2(5/4)) = \ln(2 (5/4) - 1)\]
\[\ln(4 - (5/2)) = \ln(5/2 - 1)\]
\[\ln (3/2) = \ln (3/2)\]

true statement. therefore your solution is x = 5/4

Answer 4

thank you so much