Question

What is the simplified form of 4 log3y - 6 log3x + 7 log3z?

Answer 1

`\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star`

[ b ] is the Correct one

`\textsf{ \underline{\underline{Steps to solve the problem} }:}`

`\qquad❖ \: \sf \:4 \: log_(3)(y) - 6 \: log_(3)(x) + 7 \: log_(3)(z)`

`\qquad❖ \: \sf \: \: log_(3)(y {}^(4) ) - \: log_(3)(x {}^(6) ) +\: log_(3)(z {}^(7) )`

`\qquad❖ \: \sf \: \: log_(3)(y {}^(4) ) + \: log_(3)(z{}^(7) ) - \: log_(3)(x {}^(6) )`

(
`\sf a\: log (b) = log {b}^(a)`)

`\qquad❖ \: \sf \: log_(3)( {y}^(4) {z}^(7) ) - log_(3)( {x}^(6) {}^{} )`

(
`\sf{log (a) + log (b) = log (ab)}`)

`\qquad❖ \: \sf \: log_(3) \bigg( \frac{y {}^(4) {z}^(7) }{ {x}^(6) } \bigg )`

(
`\sf{log (a) - log (b) = log (a/b)}`)

`\qquad \large \sf {Conclusion} :`

[ b ] is the Correct choice