What is the answer to ln((10)/(7-2x))=ln(2x) ?

The answer to ln((10)/(7-2x))=ln(2x) is x=1,x= 5/2

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ln((10)/(7-2x))=ln(2x)

ln (\frac{10}{7 - 2 x}) = ln (2 x)

x = 1, x = \frac{5}{2}

Decimal Notation

x = 1, x = 2.5

Solution steps

ln (\frac{10}{7 - 2 x}) = ln (2 x)

Apply log rules

\frac{10}{7 - 2 x} = 2 x

Solve

\frac{10}{7 - 2 x} = 2 x : x = 1, x = \frac{5}{2}

x = 1, x = \frac{5}{2}

Verify Solutions:

x = 1

True

, x = \frac{5}{2}

True

The solutions are

x = 1, x = \frac{5}{2}

lo g_{4} (x) = - 3

lo g_{\frac{1}{2}} (x) = - 3

e^{l n (x)} = x

ln (x + 31) - ln (4 - 3 x) = 5 ln (2)

lo g_{10} (x) = 1.3

What is the answer to ln((10)/(7-2x))=ln(2x) ?
The answer to ln((10)/(7-2x))=ln(2x) is x=1,x= 5/2
Solve for x: ln((10)/(7-2x))=ln(2x)
The solution is x=1,x= 5/2