What is the answer to ln(x)+ln(x-9)=0 ?

The answer to ln(x)+ln(x-9)=0 is x=(9+sqrt(85))/2

Solve for x: ln(x)+ln(x-9)=0

The solution is x=(9+sqrt(85))/2

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ln (x) + ln (x - 9) = 0

x = \frac{9 + 85}{2}

Decimal Notation

x = 9.10977 \dots

Solution steps

ln (x) + ln (x - 9) = 0

Apply log rules

x (x - 9) = 1

Solve

x (x - 9) = 1 : x = \frac{9 + 85}{2}, x = \frac{9 - 85}{2}

x = \frac{9 + 85}{2}, x = \frac{9 - 85}{2}

Verify Solutions:

x = \frac{9 + 85}{2}

True

, x = \frac{9 - 85}{2}

False

The solution is

x = \frac{9 + 85}{2}

\frac{ln ( x ) - 1}{ln ^{2} ( x )} = 0

- lo g_{10} (x) = 3

ln (x^{2} - 4 x + 5) = 0

lo g_{3} (4 x) - lo g_{3} (8) = 3

x, lo g_{2} (x) = y + c

What is the answer to ln(x)+ln(x-9)=0 ?
The answer to ln(x)+ln(x-9)=0 is x=(9+sqrt(85))/2
Solve for x: ln(x)+ln(x-9)=0
The solution is x=(9+sqrt(85))/2