Question

I need help on this problem. How do I solve ln x + ln6x = 8 ? without a calculator ?

Answer 1

ln x + ln6x = 8
ln(x*(6x)) = 8 --> Sum of logs is log of product
ln(6x^2) = 8
e^8 = 6 x^2 --> Definition of log
e^8/6 = x^2
x^2 = (e^8)/6
x = (e^4) / Sqrt (6) --> Square root of both sides

Answer 2

hmmm
and that would be the final answer
?

Answer 3

x = (e^4) / Sqrt (6) is the exact answer. You can approximate for e and Sqrt(6) if that is what you mean.

Answer 4

Alright thank you