What is the answer to ln(x+6)-ln(x-4)=ln(x) ?

The answer to ln(x+6)-ln(x-4)=ln(x) is x=6

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ln(x+6)-ln(x-4)=ln(x)

ln (x + 6) - ln (x - 4) = ln (x)

x = 6

Solution steps

ln (x + 6) - ln (x - 4) = ln (x)

Add

ln (x - 4)

to both sides

ln (x + 6) - ln (x - 4) + ln (x - 4) = ln (x) + ln (x - 4)

Simplify

ln (x + 6) = ln (x) + ln (x - 4)

Apply log rules

x + 6 = x (x - 4)

Solve

x + 6 = x (x - 4) : x = 6, x = - 1

x = 6, x = - 1

Verify Solutions:

x = 6

True

, x = - 1

False

The solution is

x = 6

ln (k) = - 2342

lo g_{2} (x + 1) = lo g_{10} (13)

lo g_{2} (9 x) + 2 lo g_{2} (8) = 3

lo g_{4} (x - 3) = - lo g_{4} (x - 6) + 1

ln (3 x - 15) = 6

What is the answer to ln(x+6)-ln(x-4)=ln(x) ?
The answer to ln(x+6)-ln(x-4)=ln(x) is x=6
Solve for x: ln(x+6)-ln(x-4)=ln(x)
The solution is x=6