birchwood001 birchwood001
  • 25-06-2019
  • Mathematics
contestada

Solve: logx343 = 3 x =

Respuesta :

jimrgrant1 jimrgrant1
  • 25-06-2019

Answer:

x = 7

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Hence

[tex]log_{x}[/tex] 343 = 3 ⇒ 343 = x³

Take the cube root of both sides

x = [tex]\sqrt[3]{343}[/tex] = 7

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