What is the answer to ln(x-3)=ln(7x-23)-ln(x+1) ?

The answer to ln(x-3)=ln(7x-23)-ln(x+1) is x=5,x=4

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ln(x-3)=ln(7x-23)-ln(x+1)

ln (x - 3) = ln (7 x - 23) - ln (x + 1)

x = 5, x = 4

Solution steps

ln (x - 3) = ln (7 x - 23) - ln (x + 1)

Add

ln (x + 1)

to both sides

ln (x - 3) + ln (x + 1) = ln (7 x - 23) - ln (x + 1) + ln (x + 1)

Simplify

ln (x - 3) + ln (x + 1) = ln (7 x - 23)

Apply log rules

(x - 3) (x + 1) = 7 x - 23

Solve

(x - 3) (x + 1) = 7 x - 23 : x = 5, x = 4

x = 5, x = 4

Verify Solutions:

x = 5

True

, x = 4

True

The solutions are

x = 5, x = 4

- x + 4 = ln (x)

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

ln (10 x + 5) - 3 = ln (x - 5)

7 lo g_{2} (x) = - \frac{7}{3}

x, 2 - 2.12 = lo g_{10} (x)

What is the answer to ln(x-3)=ln(7x-23)-ln(x+1) ?
The answer to ln(x-3)=ln(7x-23)-ln(x+1) is x=5,x=4
Solve for x: ln(x-3)=ln(7x-23)-ln(x+1)
The solution is x=5,x=4