What is the answer to 3ln(2)+ln(8)=2ln(4x) ?

The answer to 3ln(2)+ln(8)=2ln(4x) is x=2

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3ln(2)+ln(8)=2ln(4x)

3 ln (2) + ln (8) = 2 ln (4 x)

x = 2

Solution steps

3 ln (2) + ln (8) = 2 ln (4 x)

Switch sides

2 ln (4 x) = 3 ln (2) + ln (8)

Divide both sides by

2

ln (4 x) = \frac{3 ln ( 2 ) + ln ( 8 )}{2}

Apply log rules

4 x = 8

Solve

4 x = 8 : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

3 ln (3 x + 9) + 2 = 17

lo g_{3} (q) = 7

lo g_{m} (4) + 8 lo g_{4} (m) = 6

ln (x + 2) - ln (x + 1) = 0

1 0^{6} = lo g_{2} (x)

What is the answer to 3ln(2)+ln(8)=2ln(4x) ?
The answer to 3ln(2)+ln(8)=2ln(4x) is x=2
Solve for x: 3ln(2)+ln(8)=2ln(4x)
The solution is x=2