What is the answer to ln(5x-7)-ln(x+1)=ln(3) ?

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

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ln(5x-7)-ln(x+1)=ln(3)

ln (5 x - 7) - ln (x + 1) = ln (3)

x = 5

Solution steps

ln (5 x - 7) - ln (x + 1) = ln (3)

Add

ln (x + 1)

to both sides

ln (5 x - 7) - ln (x + 1) + ln (x + 1) = ln (3) + ln (x + 1)

Simplify

ln (5 x - 7) = ln (3) + ln (x + 1)

Apply log rules

5 x - 7 = 3 (x + 1)

Solve

5 x - 7 = 3 (x + 1) : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

2 + 3 ln (4 x - 3) = 20

lo g_{5} (x + 4) = 2

4 - ln (x + 1) = ln (x + 1)

ln (x) \cdot x = 0

8 = lo g_{2} (x)

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