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

The answer to 4ln(2)-ln(8)=-ln(2x) is x= 1/4

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4ln(2)-ln(8)=-ln(2x)

4 ln (2) - ln (8) = - ln (2 x)

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

4 ln (2) - ln (8) = - ln (2 x)

Move

ln (2 x)

to the left side

4 ln (2) - ln (8) + ln (2 x) = 0

Move

4 ln (2)

to the right side

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

Move

ln (8)

to the right side

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

Apply log rules

2 x = \frac{1}{2}

Solve

2 x = \frac{1}{2} : x = \frac{1}{4}

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

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

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

lo g_{10} (x) + lo g_{10} (2 x) = 1

lo g_{6} (x^{2} + 19 x + 124) = 3

2 = lo g_{5} (x)

What is the answer to 4ln(2)-ln(8)=-ln(2x) ?
The answer to 4ln(2)-ln(8)=-ln(2x) is x= 1/4
Solve for x: 4ln(2)-ln(8)=-ln(2x)
The solution is x= 1/4