Logarithms

Question

Log3 (-6p) - 9 = 10

Answer 1

I think you mean log₃(-6p) - 9 = 10. Let's solve for p:

 

log₃(-6p) = 19        (add 9 to both sides)

3¹⁹ = -6p        (put into exponential form)

(3¹⁹)/(-6) = p        (divide both sides by -6)

-193710244 = p        (evaluate the left-hand side)