What is the answer to -10ln(2p)=40 ?

The answer to -10ln(2p)=40 is p= 1/(2e^4)

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-10ln(2p)=40

- 10 ln (2 p) = 40

p = \frac{1}{2 e ^{4}}

Decimal Notation

p = 0.00915 \dots

Solution steps

- 10 ln (2 p) = 40

Divide both sides by

- 10

ln (2 p) = - 4

Apply log rules

2 p = \frac{1}{e ^{4}}

Solve

2 p = \frac{1}{e ^{4}} : p = \frac{1}{2 e ^{4}}

p = \frac{1}{2 e ^{4}}

Verify Solutions:

p = \frac{1}{2 e ^{4}}

True

The solution is

p = \frac{1}{2 e ^{4}}

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

lo g_{10} (x^{2} + 48 x) = 1

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

ln (C) = 0

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