Respuesta :

Answer:

0.216 = 0.6³

Step-by-step explanation:

using the rule of logarithms

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

[tex]log_{0.6}[/tex] 0.216 = 3 ⇒ 0.216 = [tex]0.6^{3}[/tex]


Answer:

[tex](0.6)^3= 0.216[/tex]

Step-by-step explanation:

[tex]3=log_{0.6} 0.216[/tex]

To convert log form into exponential form we use a rule

[tex]if \ x=log_b(a) \ then \ b^x=a[/tex]

WE apply this rule to convert log form in to exponential form

[tex]3=log_{0.6} 0.216[/tex]

The base of log becomes the base of the exponent

[tex](0.6)^3= 0.216[/tex]