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

The answer to ln(x)+ln(x-5)=ln(5x) is x=10

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

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

x = 10

Solution steps

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

Apply log rules

x (x - 5) = 5 x

Solve

x (x - 5) = 5 x : x = 0, x = 10

x = 0, x = 10

Verify Solutions:

x = 0

False

, x = 10

True

The solution is

x = 10

ln (c) = 0.647918433

- lo g_{10} (x) = 8.7

- 4 = - ln (c)

3 (ln (7 x) + 1) = 0

4.35 = 5 - lo g_{10} (x)

What is the answer to ln(x)+ln(x-5)=ln(5x) ?
The answer to ln(x)+ln(x-5)=ln(5x) is x=10
Solve for x: ln(x)+ln(x-5)=ln(5x)
The solution is x=10