What is the answer to 6ln(2)-ln(4)=-ln(x) ?

The answer to 6ln(2)-ln(4)=-ln(x) is x= 1/16

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6ln(2)-ln(4)=-ln(x)

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

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

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

Move

ln (x)

to the left side

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

Move

6 ln (2)

to the right side

- ln (4) + ln (x) = - 6 ln (2)

Move

ln (4)

to the right side

ln (x) = - 6 ln (2) + ln (4)

Apply log rules

x = \frac{1}{16}

Verify Solutions:

x = \frac{1}{16}

True

The solution is

x = \frac{1}{16}

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

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

lo g_{10} (x^{2}) = 6

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

lo g_{10} (x) = - \frac{1}{2}

What is the answer to 6ln(2)-ln(4)=-ln(x) ?
The answer to 6ln(2)-ln(4)=-ln(x) is x= 1/16
Solve for x: 6ln(2)-ln(4)=-ln(x)
The solution is x= 1/16