Math, asked by kalpanaverma010, 5 hours ago

pls tell me on paper or a book and pls Don't sent fltu answer
Solve the equation of x​

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Answered by mahimaverma2005
1

Answer:

this is the answer of your question

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Answered by Anonymous
9

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 \hline\begin{array}{  ||c|| } \small \sf{Used  \: law \:  of  \: exponent}\\  \underline{\underline{ \small \sf \blue{{a}^{m}   \div   {a}^{n}  =  {a}^{m - n}}}}  \end{array}

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 \mapsto  \small\sf \blue{Solution:-}

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 \blue \mapsto \sf{ \frac{ {5}^{3x} }{5^{ - 4} } \times  \frac{25}{ {5}^{x} }   =  \frac{ {5}^{20} }{5^{12} }  }

 \blue \mapsto \sf{ \frac{ {5}^{3x} }{5^{ - 4} } \times  \frac{ {5}^{2} }{ {5}^{x} }   =  \frac{ {5}^{20} }{5^{12} }  }

 \blue \mapsto \sf{ {5}^{3x \:   -  \:  (- 4)} × 5^{ 2  \:  -  \:  x}  } =  \frac{ {5}^{20 - 12} }{1}  }

 \blue \mapsto \sf{ \frac{ {5}^{3x \:  + \:  4} }{5^{2 \:  -  \: x}  } =  \frac{ {5}^{8} }{1}  }

 \blue \mapsto \sf{ \frac{ {5}^{3x + 4- ( 2 - x)} }{1  } =  \frac{ {5}^{8} }{1}  }

 \blue \mapsto \sf{ \frac{ {5}^{3x + 4   -   2  +   x} }{1  } =  \frac{ {5}^{8} }{1}  }

 \blue \mapsto \sf{ \frac{ {5}^{4x \:  +  \: 2} }{1  } =  \frac{ {5}^{8} }{1}  }

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 \mapsto  \small\sf \blue{Comparing \:  both \:  sides}

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 \blue \mapsto  \small\sf{ 4x =  8 - 2}

 \blue \mapsto  \small\sf{ 2x = 6}

 \blue \mapsto \sf{ x =   \cancel\frac{6}{4} }

 \small \boxed{  \underline{\blue \mapsto \sf{ x =   \frac{3}{2}  }}}

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