Question

Express y in terms of x

log y - log x = 5 log 3

Answer 1

log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)
log(a^b) = b*log(a)

using second and third rule:
\[\log(y/x) = \log(3^5)\]\[\frac{ y }{ x } = 3^5\]\[y = 243x\]