What is the answer to 2ln(2)+2ln(x)=2ln(2x) ?

The answer to 2ln(2)+2ln(x)=2ln(2x) is x>0

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2ln(2)+2ln(x)=2ln(2x)

2 ln (2) + 2 ln (x) = 2 ln (2 x)

x > 0

Solution steps

2 ln (2) + 2 ln (x) = 2 ln (2 x)

Apply log rules

2 ln (2) + 2 ln (x) = 2 (ln (2) + ln (x))

Rewrite the equation with

ln (x) = u

2 ln (2) + 2 u = 2 (ln (2) + u)

Solve

2 ln (2) + 2 u = 2 (ln (2) + u) :

True for all

u

True for all u

Verify Solutions:

x > 0

The solution is

x > 0

lo g_{3} ((2 x - 3) \cdot (x + 3)) = 4

lo g_{5} (8 y - 6) + lo g_{5} (y - 5) = 4

2.1 = - lo g_{10} (h)

- 2 ln (a) = ln (9)

ln^{2} (x) = ln^{3} (x)

What is the answer to 2ln(2)+2ln(x)=2ln(2x) ?
The answer to 2ln(2)+2ln(x)=2ln(2x) is x>0
Solve for x: 2ln(2)+2ln(x)=2ln(2x)
The solution is x>0