Write the given expression as a single logarithm

4log(5x)-5[log(x)-log(y-7)]

4 log (5x) - 5[log x - log (y - 7)] = log (5x)^4 - 5 log x - 5 log (y - 7) =

log (5x)^4 - [log x^5 + log (y - 7)^5] =

log [(625x^4)/(x^5)(y - 7)^5] = log [625/x(y -7)^5]

id est

log (5x)^4 - log x ^5 - log (y-7)


log (625 x^4 / x^5) - log (y-7))


log 625 x^(-1) - log (y-7)


log (625 / (x*(y-7)))