What is the answer to ln(8x)-ln(x-3)=ln(x+3) ?

The answer to ln(8x)-ln(x-3)=ln(x+3) is x=9

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ln(8x)-ln(x-3)=ln(x+3)

ln (8 x) - ln (x - 3) = ln (x + 3)

x = 9

Solution steps

ln (8 x) - ln (x - 3) = ln (x + 3)

Add

ln (x - 3)

to both sides

ln (8 x) - ln (x - 3) + ln (x - 3) = ln (x + 3) + ln (x - 3)

Simplify

ln (8 x) = ln (x + 3) + ln (x - 3)

Apply log rules

8 x = (x + 3) (x - 3)

Solve

8 x = (x + 3) (x - 3) : x = 9, x = - 1

x = 9, x = - 1

Verify Solutions:

x = 9

True

, x = - 1

False

The solution is

x = 9

ln (10 + x) = ln (3 + 4 x)

2 ln (7 x - 2) - 19 = - 3

lo g_{2} (4 x) - 2 lo g_{2} (5) = 3

ln (3 x) + ln (6) = ln (5 x + 7)

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

What is the answer to ln(8x)-ln(x-3)=ln(x+3) ?
The answer to ln(8x)-ln(x-3)=ln(x+3) is x=9
Solve for x: ln(8x)-ln(x-3)=ln(x+3)
The solution is x=9