Question

Como resolver √7^x = 343 ???

Answer 1

$(\sqrt{7})^x=343$

Veja que

$\sqrt{7}=7^{\frac{1}{2}}$

$343=7^3$

$(7^{\frac{1}{2}})^x=7^3 \iff 7^{\frac{x}{2}}=7^3$

$\dfrac{x}{2}=3 \iff \boxed{x=6}$