Question

Me ajudem por favor!

Answer 1

$\boxed{4}$

$4^{( 2^{x} )} =256$

$2^{2} ^{( 2^{x} )} =2 ^{8}$

$2^{( 2.2^{x} )} =2 ^{8}$

$2^{( 2^{x+1} )} =2 ^{8}$

$2^{x+1}=8$

$2^{x+1}= 2^{3}$

$x+1=3$

$x=3-1$

$x=2$

Letra c)

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$\boxed{5}$

$3^{x+2} + 3^{x+5} =28$

$3^{2} .3^{x} + 3^{5} .3^{x} =28$

$9 .3^{x} + 243 .3^{x} =28$

$(9 + 243 ).3^{x} =28$

$(252 ).3^{x} =28$

$3^{x} = \dfrac{28}{252}$

$3^{x} = \dfrac{1}{9}$

$3^{x} = \dfrac{1}{ 3^{2} }$

$3^{x} = 3^{-2}$

$x=-2$