Math, asked by aanya4334, 1 month ago

please give fast it's very important ​

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Answered by Anonymous
28

Answer:

Question:

  • { \sf{ {( {2}^{3} )}^{4} =  {( {2}^{2} )}^{x}  }}
  • Find Value of x?

Solution:

 \to{ \sf{ {( {2}^{3} )}^{4} =  {( {2}^{2} )}^{x}  }} \\  \\   \sf\to{ {2}^{12}  =  {2}^{2x} }  \\  \\ \sf{If \:  Bases  \:  \: Are Equal, Then \:  Powers \:  Are  \: Also  \: Equal} \\  \\  \to \sf{12 = 2x} \\  \\ \to \sf{x =  \frac{12}{2} } \\  \\ \to \sf{x = 6}

Question:

  •  \: { \sf{ {2}^{x - 5} \times  {5}^{x - 4}  = 5 }}
  • Find Value of x?

Solution:

 \: \to { \sf{ {2}^{x - 5} \times  {5}^{x - 4}  = 5 }} \\  \\  \to \sf{ \frac{ {2}^{x} }{ {2}^{5}  } \times  \frac{ {5}^{x} }{ {5}^{4} } = 5  } \\  \\ \to \sf{ {2}^{x}  \times  {5}^{x}  =  {5}^{4} \times  {5}^{1} \times  {2}^{5}   } \\  \\ \to \sf{ {2}^{x} \times  {5}^{x}   =  {2}^{5}  \times  {5}^{5} } \\  \\ \to \sf{ {10}^{x} =  {10}^{5}  } \\  \\ \to \sf{x = 5}

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