What is the answer to -ln(126)=4ln(p)+5ln(1-p) ?

The answer to -ln(126)=4ln(p)+5ln(1-p) is No Solution for p\in\mathbb{R}

Solve for p: -ln(126)=4ln(p)+5ln(1-p)

The solution is No Solution for p\in\mathbb{R}

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- ln (126) = 4 ln (p) + 5 ln (1 - p)

No Solution for p \in R

Solution steps

- ln (126) = 4 ln (p) + 5 ln (1 - p)

Add

ln (126)

to both sides

- ln (126) + ln (126) = 4 ln (p) + 5 ln (1 - p) + ln (126)

Simplify

0 = 4 ln (p) + 5 ln (1 - p) + ln (126)

Apply log rules

p^{4} - 5 p^{5} + 10 p^{6} - 10 p^{7} + 5 p^{8} - p^{9} = \frac{1}{126}

Solve

p^{4} - 5 p^{5} + 10 p^{6} - 10 p^{7} + 5 p^{8} - p^{9} = \frac{1}{126} : p \approx - 0.23034 \dots

p \approx - 0.23034 \dots

Verify Solutions:

p \approx - 0.23034 \dots

False

The solution is

No Solution for p \in R

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

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

lo g_{3} (- 2 - 5 x) = 4

lo g_{10} (5) - lo g_{10} (x) = 1

lo g_{10} (5) - lo g_{10} (x) = 2

What is the answer to -ln(126)=4ln(p)+5ln(1-p) ?
The answer to -ln(126)=4ln(p)+5ln(1-p) is No Solution for p\in\mathbb{R}
Solve for p: -ln(126)=4ln(p)+5ln(1-p)
The solution is No Solution for p\in\mathbb{R}