What is the answer to ln(2x-5)-ln(x)= 1/4 ?

The answer to ln(2x-5)-ln(x)= 1/4 is x= 5/(2-\sqrt[4]{e)}

Solve for x: ln(2x-5)-ln(x)= 1/4

The solution is x= 5/(2-\sqrt[4]{e)}

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ln (2 x - 5) - ln (x) = \frac{1}{4}

Decimal Notation

x = 6.98348 \dots

Solution steps

ln (2 x - 5) - ln (x) = \frac{1}{4}

Add

ln (x)

to both sides

ln (2 x - 5) - ln (x) + ln (x) = \frac{1}{4} + ln (x)

Simplify

ln (2 x - 5) = \frac{1}{4} + ln (x)

Apply log rules

Solve

Verify Solutions:

True

The solution is

29.95 = - 42.4 ln (a) + 0.52

ln (x + 2) - ln (6 - x) = ln (x - 1)

lo g_{2} (x^{9}) = - 9

lo g_{4 x} (2 x + 5) = \frac{8}{5}

- 9 lo g_{2} (8 - 9 x) - 5 = - 41

What is the answer to ln(2x-5)-ln(x)= 1/4 ?
The answer to ln(2x-5)-ln(x)= 1/4 is x= 5/(2-\sqrt[4]{e)}
Solve for x: ln(2x-5)-ln(x)= 1/4
The solution is x= 5/(2-\sqrt[4]{e)}