What is the answer to ln(x)=ln(3)+ln(x-5) ?

The answer to ln(x)=ln(3)+ln(x-5) is x= 15/2

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ln(x)=ln(3)+ln(x-5)

ln (x) = ln (3) + ln (x - 5)

x = \frac{15}{2}

Decimal Notation

x = 7.5

Solution steps

ln (x) = ln (3) + ln (x - 5)

Apply log rules

x = 3 (x - 5)

Solve

x = 3 (x - 5) : x = \frac{15}{2}

x = \frac{15}{2}

Verify Solutions:

x = \frac{15}{2}

True

The solution is

x = \frac{15}{2}

ln (x) = 3.941977858

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0.83 = ln (x)

lo g_{10} (x + 50) = 2

x, t = - ln (x)

What is the answer to ln(x)=ln(3)+ln(x-5) ?
The answer to ln(x)=ln(3)+ln(x-5) is x= 15/2
Solve for x: ln(x)=ln(3)+ln(x-5)
The solution is x= 15/2