What is the answer to 3ln(x+5)=2ln(7-x) ?

The answer to 3ln(x+5)=2ln(7-x) is x=-1

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3ln(x+5)=2ln(7-x)

3 ln (x + 5) = 2 ln (7 - x)

x = - 1

Solution steps

3 ln (x + 5) = 2 ln (7 - x)

Apply log rules

(x + 5)^{3} = (7 - x)^{2}

Solve

(x + 5)^{3} = (7 - x)^{2} : x = - 1

x = - 1

Verify Solutions:

x = - 1

True

The solution is

x = - 1

- \frac{7}{3} ln (2) = ln (b)

lo g_{2.718} (a) = 1277.29

ln (y) = 3 x^{2} + C, y

2 lo g_{2} (x - 1) = 0

- 2.8657 = ln (x)

What is the answer to 3ln(x+5)=2ln(7-x) ?
The answer to 3ln(x+5)=2ln(7-x) is x=-1
Solve for x: 3ln(x+5)=2ln(7-x)
The solution is x=-1