Question

Me ajudem por favor, tenho que entregar essa atividade amanhã

Answer 1

Resposta:

a ) $3^{2x+4} = 243$
    $3^{2x+4} = 3^5$
    $2x + 4 = 5$
     $x = \frac{1}{2}$

b) $5^{2x-3} = 125$
   $5^{2x-3} = 5^3$
  $2x-3 = 3$
  $x = 3$

c $3^{6x-8} = 81$
  $3^{6x-8} = 3^4$
 $6x-8 = 4$
 $x = 2$

d $7^{4x-4} = 343$
  $7^{4x-4} = 7^3$
  $4x-4 = 3$

   $x = \frac{7}{4}$

e)
 $2^{2x+6} = 1024\\2^{2x+6} = 2^{10}\\2x+6 = 10\\x = 2$

Answer 2

Explicação passo-a-passo:

A)

$3 {}^{2x + 4} = 243$

$3 {}^{2x + 4} = 3 {}^{5}$

$2x + 4 = 5$

$2x = 5 - 4$

$2x = 1$

x=1/2

B)

$5 {}^{2x - 3} = 125$

$5 {}^{2x - 3} = 5 {}^{3}$

$2x - 3 = 3$

$2x = 3 + 3$

$2x = 6$

$x = \dfrac{6}{2}$

x=3

C)

$3 {}^{6x - 8} = 81$

$3 {}^{6x - 8} = 3 {}^{4}$

$6x - 8 = 4$

$6x = 4 + 8$

$6x = 12$

$x = \dfrac{12}{6}$

x=2

D)

$7 {}^{4x - 4} = 343$

$7 {}^{4x - 4} = 7 {}^{3}$

$4x - 4 = 3$

$4x = 3 + 4$

$4x = 7$

x=7/4

E)

$2 {}^{2x + 6} = 1024$

$2 {}^{2x + 6} = 2 {}^{10}$

$2x + 6 = 10$

$2x = 10 - 6$

$2x = 4$

$x = \dfrac{4}{2}$

x=2