What is the answer to ln(x)+ln(2x-11)=ln(21) ?

The answer to ln(x)+ln(2x-11)=ln(21) is x=7

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ln(x)+ln(2x-11)=ln(21)

ln (x) + ln (2 x - 11) = ln (21)

x = 7

Solution steps

ln (x) + ln (2 x - 11) = ln (21)

Apply log rules

x (2 x - 11) = 21

Solve

x (2 x - 11) = 21 : x = 7, x = - \frac{3}{2}

x = 7, x = - \frac{3}{2}

Verify Solutions:

x = 7

True

, x = - \frac{3}{2}

False

The solution is

x = 7

lo g_{16} (x) = lo g_{2} (x)

ln (c x^{9}) = 9 ln (c) + 9 ln (x)

5.033 = 4.874 + lo g_{10} (x)

lo g_{10} (5 x^{2} + 13 x - 5) = 0

4 lo g_{3} (- 5 x) = 8

What is the answer to ln(x)+ln(2x-11)=ln(21) ?
The answer to ln(x)+ln(2x-11)=ln(21) is x=7
Solve for x: ln(x)+ln(2x-11)=ln(21)
The solution is x=7