Math, asked by kirti567231455, 4 months ago

FIND TYE VALUE OF X
PLEASE ANSWER​

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Answers

Answered by SHIVA72552y
1

Step-by-step explanation:

x will be 5/7²

please mark my answer as brainliest answer please

Answered by CloseEncounter
34

Given

  •   \left(\dfrac{5}{7} \right)^{2}  \div  \left(\dfrac{5}{7} \right)^{3x + 1 } = \left(\dfrac{5}{7} \right)^{4}

To find

  • value of x

Step by step explanation

\sf{\Longrightarrow \left(\dfrac{5}{7} \right)^{2}  \div  \left(\dfrac{5}{7} \right)^{3x + 1 } = \left(\dfrac{5}{7} \right)^{4}}

 \sf{Bases \: are \: same \: power \: should \: be \: equal}

 \sf{\Longrightarrow2 - (3x + 1) = 4}

\sf{\Longrightarrow2 - 3x  -  1 = 4}

\sf{\Longrightarrow - 3x   = 4 - 1}

\sf{\Longrightarrow - 3x   = 3}

\sf{\Longrightarrow  -x   =  \frac{3}{3} }

\sf{\Longrightarrow \ \ \ \ x   =  - 1}

 \\  \\  \\ \sf{Verification \:  \:  \:  \: _{\bold{\Longrightarrow    \left(\dfrac{5}{7} \right)^{2}  \div  \left(\dfrac{5}{7} \right)^{3x + 1 } = \left(\dfrac{5}{7} \right)^{4} }}}

\sf{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \: \:\:  \:  \:  \:  \:    \:  \:  \: {{\Longrightarrow   \left(\dfrac{5}{7} \right)^{2}  \div  \left(\dfrac{5}{7} \right)^{-3+ 1 } = \left(\dfrac{5}{7} \right)^{4}}}}

\sf{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \: \:\:  \:  \:  \:  \:    \:  \:  \: {{\Longrightarrow   \left(\dfrac{5}{7} \right)^{2}  \div  \left(\dfrac{5}{7} \right)^{-2} = \left(\dfrac{5}{7} \right)^{4}}}}

\sf{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \: \:\:  \:  \:  \:  \:    \:  \:  \: {{\Longrightarrow   \left(\dfrac{5}{7} \right)^{2}  \div  \left(\dfrac{7}{5} \right)^{2 } = \left(\dfrac{5}{7} \right)^{4}}}}

\sf{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \: \:\:  \:  \:  \:  \:    \:  \:  \: {{\Longrightarrow   \left(\dfrac{5}{7} \right)^{2}  \times  \left(\dfrac{5}{7} \right)^{2 } = \left(\dfrac{5}{7} \right)^{4}}}}

 \sf{Bases \: are \: same \: power \: should \: be \: equal}

\sf{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \: \:\:  \:  \:  \:  \:    \:  \:  \: {{\Longrightarrow   2+2= 4}}}

\sf{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \: \:\:  \:  \:  \:  \:    \:  \:  \: {{\Longrightarrow  4 = 4}}}

\sf{ \:  \:  \:  \:  \:  \: \:    \:  \:  \:  \: \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: {{\: \:\: \: \: \:LHS = RHS \ \  _{\pink{verified}}}}}

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