Question

Log x + 5 log y -4 log z rewrite as a single logarithm

Answer 1

`\qquad \sf  \dashrightarrow \: log(x) + 5 \: log(y) - 4 \: log(z)`

`\qquad \sf  \dashrightarrow \: log(x) + \: log(y {}^(5) ) - \: log(z {}^(4) )`

( a log(x) = log(x^a) )

`\qquad \sf  \dashrightarrow \: log( x {y}^(5) ) - log(z {}^(4) )`

( log (a) + log (b) = log (ab) )

`\qquad \sf  \dashrightarrow \: log( \frac{ x {y}^(5) }{z {}^(4) })`

( log (a) - log (b) = log (a/b) )