What is the answer to ln(x+3)-ln(5-4x)=2ln(2) ?

The answer to ln(x+3)-ln(5-4x)=2ln(2) is x=1

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ln(x+3)-ln(5-4x)=2ln(2)

ln (x + 3) - ln (5 - 4 x) = 2 ln (2)

x = 1

Solution steps

ln (x + 3) - ln (5 - 4 x) = 2 ln (2)

Add

ln (5 - 4 x)

to both sides

ln (x + 3) - ln (5 - 4 x) + ln (5 - 4 x) = 2 ln (2) + ln (5 - 4 x)

Simplify

ln (x + 3) = 2 ln (2) + ln (5 - 4 x)

Apply log rules

x + 3 = 4 (5 - 4 x)

Solve

x + 3 = 4 (5 - 4 x) : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

lo g_{5} (x - 1) = 2 + 2 lo g_{5} (x - 3)

4 + lo g_{2} (9 k) = 2

x, ln (1 - y^{2} - x) = 0

17 ln (x) = 11

lo g_{5} (x + 7) = lo g_{5} (2 x + 3)

What is the answer to ln(x+3)-ln(5-4x)=2ln(2) ?
The answer to ln(x+3)-ln(5-4x)=2ln(2) is x=1
Solve for x: ln(x+3)-ln(5-4x)=2ln(2)
The solution is x=1