What is the answer to ln(7-x)+ln(3x+5)=ln(24x) ?

The answer to ln(7-x)+ln(3x+5)=ln(24x) is x= 7/3

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ln(7-x)+ln(3x+5)=ln(24x)

ln (7 - x) + ln (3 x + 5) = ln (24 x)

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

ln (7 - x) + ln (3 x + 5) = ln (24 x)

Apply log rules

(7 - x) (3 x + 5) = 24 x

Solve

(7 - x) (3 x + 5) = 24 x : x = - 5, x = \frac{7}{3}

x = - 5, x = \frac{7}{3}

Verify Solutions:

x = - 5

False

, x = \frac{7}{3}

True

The solution is

x = \frac{7}{3}

- lo g_{10} (x) = 4.19

ln (x) = - \infty

lo g_{3} (x) = lo g_{10} (x^{2})

\frac{x}{lo g _{2} ( x )} = 8

3 ln (2) + ln (8) = 2 ln (4 x)

What is the answer to ln(7-x)+ln(3x+5)=ln(24x) ?
The answer to ln(7-x)+ln(3x+5)=ln(24x) is x= 7/3
Solve for x: ln(7-x)+ln(3x+5)=ln(24x)
The solution is x= 7/3