Question

if( 27)^x = 9/3^x find x





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Answer 1

refer the attachment above

Answer 2

$\huge\mathfrak{HEYA..MATE!!}$

$\huge\mathcal\purple{Answer:-}$

⏩ 27^x = 9/3^x

Write the expressions in exponential forms...

→3^3x = 3^2-x

Now, since the bases are the same, set the exponents equal...

→3x= 2-x

Move the variable to LHS and change it's sign...

→3x+x = 2

Collect the like terms..

→4x=2

Divide both sides of the equation by 4

→x= 1/2 [The required solution..]

#Alternative form:-

☆ x= 0.5, ☆ x= 2^-1

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Hope it helps...:-)

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