Question

please give me answer​

Answer 1

$\Large{\underline{\underline{\tt{\purple{Hello !!}}}}}$

❏ Formula Used:-

❚➾ Index Formula

$= {x}^{m} \times x {}^{n} = x {}^{m + n}$

$= \frac{x {}^{m} }{x {}^{n } } = x {}^{m - n}$

$= x {}^{m} \times y {}^{m}$

$= xy {}^{m}$

$= \frac{x {}^{m} }{y {}^{m} }$

$= ( \frac{x}{y}) m$

❏ Question:-

Q) Find the value of x, if

$= 5 {}^{x + 1} + 5 {}^{x - 1} = 650$

❏ Solution:-

$= 5 {}^{x + 1} + 5 {}^{x - 1} = 650$

$= 5 {}^{x} \: \times 5 {}^{1} + \frac{5 {}^{x} }{5 {}^{1} } = 650$

$= 5 {}^{x} \times (5 + \frac{1}{5} ) = 650$

$= 5 {}^{x} \times \: ( \frac{25 + 1}{5} ) = 650$

$= 5 {}^{x} \times \frac{26}{5 } = 650$

$= 5 {}^{x} = 650 \times \frac{5}{26}$

$= 5 {}^{x} = 25 \times 5$

$= 5{}^{x} = 5 {}^{2} \times 5 {}^{1}$

$= 5 {}^{x} = 5 {}^{2 + 1}$

$= 5 {}^{x} = 5 {}^{3}$

[ comparing both sides ]

⟶ x=3

∴ The value of x is 3

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Brainliest .. !!❤