What is the answer to ln(x)+ln(x-2)=ln(5x) ?

The answer to ln(x)+ln(x-2)=ln(5x) is x=7

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ln(x)+ln(x-2)=ln(5x)

ln (x) + ln (x - 2) = ln (5 x)

x = 7

Solution steps

ln (x) + ln (x - 2) = ln (5 x)

Apply log rules

x (x - 2) = 5 x

Solve

x (x - 2) = 5 x : x = 0, x = 7

x = 0, x = 7

Verify Solutions:

x = 0

False

, x = 7

True

The solution is

x = 7

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10 - ln (4 - x) = 0

44.8 = - lo g_{10} (x)

ln (m^{2} - m + 1) = 1

lo g_{\frac{1}{6}} (x) = - 2

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