How do you solve ln(1-8n)-10=-7?

2 Answers
Jun 13, 2018

n=(1-e^3)/8~~-2.386

Explanation:

ln(1-8n)-10=-7

ln(1-8n)=3

1-8n=e^3

8n=1-e^3

n=(1-e^3)/8~~-2.386

Jun 13, 2018

n = \frac{1-e^3}{8}

Explanation:

Add 10 to both sides:

ln(1-8n) = 3

Consider both sides as exponents of e:

e^{ln(1-8n)} = e^3

\therefore 1-8n = e^3

Subtract 1 from both sides

-8n = e^3-1

Divide both sides by -8:

n = \frac{1-e^3}{8}