Find the solution to the general exponential equation p(q)^rx=s, in terms of the constants p,r,s, and the logarithm of base q. In other words, solve for x.

Answer 1

pq^rx = s In order to get at the exponent, we need to take the log base q:

log_q(pq^rx) = rxlog_q(q) + log_q(p) = log_q(s)

rx = log_q(s) - log_q(p) = log_q(s/p)

x = (1/r)log(s/p)

Take care.