Question

49 elevado a X = raiz de 7. Qual o valor de X?

Answer 1

${49}^{x} = \sqrt{7} \\ ( {7}^{2} )^{x} = ( {7})^{ \frac{1}{2} } \\ {7}^{2x} = {7}^{ \frac{1}{2} } \\ \\ 2x = \frac{1}{2} \\ \\ x = \frac{1}{4}$

Answer 2

49^{x} = √7

49^{x}  = 7^{1/2}

(7²)^{x}  = 7^{1/2}

7^{2x} = 7^{1/2}   → Corta as bases e iguala os expoentes.

2x = 1/2

 x = 1/2 ÷ 2

 x = 1/2 * 1/2

 x = 1/(2*2)

 x = 1/4

Resposta → O valor de "X" é o 1/4.