Question

rezolvări ecuația 3^2^3=(3^2)^3×x
ajutați mă vă rog​

Answer 1

Răspuns: $\bf x = \dfrac{4}{3}$

Explicație pas cu pas:

Salutare!

$\bf 3^{2^{3} } =(3^{2})^{3x}$

2³ = 8

$\bf 3^{8} =3^{2\cdot 3x}$

$\bf 3^{8} =3^{6x} \implies 8 = 6x \:\:\Big|:2 \implies 3x = 4 \implies \boxed{\bf x = \dfrac{4}{3} }$

==pav38==

Answer 2

 

$\displaystyle\bf\\Daca~x~se~inmulteste~cu~3~de~la~exponent,~atunci:\\\\3^{\b2^{\b3}}=\Big(3^{\b2}\Big)^{\b3\cdot \b x}\\\\2^3=2\cdot3\cdot x\\\\8=6x\\\\x=\frac{8}{6}\\\\\boxed{\bf x=\frac{4}{3}}\\\\\\Daca~x~se~inmulteste~cu~puterea~din~dreapta,~atunci:\\\\3^{\b2^{\b3}}=\Big(3^{\b2}\Big)^{\b3}\cdot x\\\\3^{\Big(\b2{^\b3}\Big)}}=3^{\b2\cdot\b3}\cdot x\\\\3^8=3^6x\\\\x=\frac{3^8}{3^6}\\\\x=3^{8-6}\\\\x=3^2\\\\\boxed{\bf x=9}$

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