Question

(√6)^x-2=1 solve the given eponential equations
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Answer 1

----------------HEY DEAR----------------------------

HERE IS YOUR ANSWER...

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(1.)(ROOT6) X - 2 = 1

(ROOT6 )X = 3

X = 3/(ROOT6)

X = 3/2.449

X = 1.224......................(ANS.)

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           OR

(2.)IF YOUR QUESTION IS LIKE THIS :

(ROOT 6)^ (X-2) = 1

  WE KNOW IF ANY BASE HAVE POWER 0 THEN IT IS EQUAL TO 1

SO,

(ROOT6)^( X - 2 ) = (ROOT 6)^ 0

COMPARE BOTH EQUATIONS,.......

X-2 =0

X = 2...........................(ANS.)

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HOPE IT HELPS YOU.......

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Answer 2

Answer:

$\huge\sf{solution}$

$\bf{ ( \sqrt{6} \: {)}^{x - 2} = 1 }$

$\bf{ ( = {6}^{ \frac{1}{2} } {)}^{x - 2} = 1}$

$\bf\pink{ ( {a}^{0} = 1) } \: \\ \bf\pink{ {6}^{0} = 1}$

$\bf{ = (6 {)}^{ \frac{x - 2}{2} } = (6 {)}^{0} }$

$\mathtt\purple{bases \: are \: same \: powers \: are \: } \\ \mathtt\purple{equated}$

$\bf{ = \frac{x - 2}{2} = 0}$

$\bf{ = x - 2 = 0 \times 2 }$

$\bf{ = x - 2 = 0 }$

$\bf{ = x = 0 - 2}$

$\bf{ therefore \: \: \: \sf\red{ x = 2}} \: \: is \: answer$

Step-by-step explanation:

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