Question

Calcule o valor de x nas equações exponenciais 2³×=64​

Answer 1

Letra A)

$2^{3x}=64\implies$

$\implies2^{3x}=2^6\iff$

$\iff3x=6\iff$

$\iff x=2.$

Letra B)

$3^{x-2}=81\implies$

$\implies3^{x-2}=3^4\iff$

$\iff x-2=4\iff$

$\iff x=4+2\iff$

$\iff x=6.$

Letra C)

$5^{4x}=625\implies$

$\implies5^{4x}=5^4\iff$

$\iff4x=4\iff$

$\iff x=1.$

Letra D)

$7^{x+1}=343\implies$

$\implies7^{x+1}=7^3\iff$

$\iff x+1=3\iff$

$\iff x=3-1\iff$

$\iff x=2.$