Question

solve the following exponential equation. exact answers only


1-8x 3x
¨i =e

*I know that I did not post this correctly but I do not know how to put the 1-8x above the pie symbol and 3x above the e.

Answer 1

Normally that would be rendered as

pi^(1-8x) = e^(3x)

so, take ln of both sides:

(1-8x) ln(pi) = 3x
ln(pi) - 8ln(pi) x = 3x
x(3+8ln(pi)) = ln(pi)
x = ln π/(3 + 8 ln π)

Answer 2

Thanks for telling me how to actually write it here.