What is the answer to ln(108)=-1/4 ln(2-1x) ?

The answer to ln(108)=-1/4 ln(2-1x) is x= 272097791/136048896

Solve for x: ln(108)=-1/4 ln(2-1x)

The solution is x= 272097791/136048896

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ln (108) = - \frac{1}{4} ln (2 - 1 x)

x = \frac{272097791}{136048896}

Decimal Notation

x = 1.99999 \dots

Solution steps

ln (108) = - \frac{1}{4} ln (2 - 1 \cdot x)

Switch sides

- \frac{1}{4} ln (2 - 1 x) = ln (108)

Multiply both sides by

- 4

ln (2 - 1 x) = - 4 ln (108)

Apply log rules

2 - x = \frac{1}{136048896}

Solve

2 - x = \frac{1}{136048896} : x = \frac{272097791}{136048896}

x = \frac{272097791}{136048896}

Verify Solutions:

x = \frac{272097791}{136048896}

True

The solution is

x = \frac{272097791}{136048896}

lo g_{10} (2 - x) = 2

2 ln (\frac{3 + 1}{x}) = 0.001

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

ln (x) = \frac{2 - ln ( x )}{ln ( x )}

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

What is the answer to ln(108)=-1/4 ln(2-1x) ?
The answer to ln(108)=-1/4 ln(2-1x) is x= 272097791/136048896
Solve for x: ln(108)=-1/4 ln(2-1x)
The solution is x= 272097791/136048896