What is the answer to ln(((x+1))/x)+ln(2)=ln(x+3) ?

The answer to ln(((x+1))/x)+ln(2)=ln(x+3) is x=1,x=-2

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ln(((x+1))/x)+ln(2)=ln(x+3)

ln (\frac{( x + 1 )}{x}) + ln (2) = ln (x + 3)

x = 1, x = - 2

Solution steps

ln (\frac{( x + 1 )}{x}) + ln (2) = ln (x + 3)

Apply log rules

\frac{2 ( x + 1 )}{x} = x + 3

Solve

\frac{2 ( x + 1 )}{x} = x + 3 : x = 1, x = - 2

x = 1, x = - 2

Verify Solutions:

x = 1

True

, x = - 2

True

The solutions are

x = 1, x = - 2

lo g_{2} (lo g_{4} (lo g_{5} (x))) = 0

9 = ln (x)

lo g_{10} (125 x) = \frac{1}{3}

lo g_{5} (4 - x) - 2 lo g_{5} (x) = 1

ln (x) = x - 2

What is the answer to ln(((x+1))/x)+ln(2)=ln(x+3) ?
The answer to ln(((x+1))/x)+ln(2)=ln(x+3) is x=1,x=-2
Solve for x: ln(((x+1))/x)+ln(2)=ln(x+3)
The solution is x=1,x=-2