Math, asked by BrainlyXQueen, 8 months ago

write the expand form of log a power m b power n/c pwr z​

Answers

Answered by asleshkadam0123
0

Step-by-step explanation:

okay okay okay okays okay okay okays okay....sorry

Answered by Intelligentcat
50

Answer:

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write the expand form of log a power m b power n/c power z

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To expand the given expression

 \sf{ log(  \frac{{a}^{m} \times  {b}^{n}  }{c {}^{z} } )} \\

Quotient Rule,

  \boxed{\sf{log( \frac{x}{y} ) = log \: x \:  -  \: log \: y}}

 \rightarrow \:  \sf{log( {a}^{m} \times  {b}^{n}) - log( {c}^{z} )  }

Product Rule,

  \boxed{\sf{log(x.y) = log \:  x \:  + log \: y}}

 \rightarrow \:  \sf{log( {a}^{m}) +  log( {b}^{n} ) - log( {c}^{z})  }

Exponential Rule,

  \boxed{\sf{log( {x}^{y}) = y.log(x) }}

  \large{\rightarrow \:  \sf{m.log(a) + n.log(b) - z.log(c)}}

Thus,

You will get m.log(a) + n.log(b) - z.log(c)

hope it helps uhh...

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