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2 years ago

7D%20" id="TexFormula1" title=" {3}^{x + 2} - {3}^{x} = \frac{8}{9} " alt=" {3}^{x + 2} - {3}^{x} = \frac{8}{9} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

ser-zykov [4K]2 years ago

6 0

$3^{x + 2}$ - $3^{x}$ = $3^{x}$ * $3^{2}$ - $3^{x}$ = 9( $3^{x}$ ) - 1( $3^{x}$ ) = 8( $3^{x}$ )

$3^{x + 2}$ - $3^{x}$ = $\frac{8}{9}$

⇒ 8( $3^{x}$ ) = $\frac{8}{9}$

⇒ $3^{x}$ = $\frac{1}{9}$ multiplied both sides by 8

⇒ $3^{x}$ = $\frac{1}{3^{2} }$

⇒ $3^{x}$ = 3⁻²

⇒ x = -2

Answer: x = -2

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