studentc4 studentc4
  • 15-01-2019
  • Mathematics
contestada

Write to the equation in logarithmic form 125^4/3 = 625. PLEASEE HELP!

Respuesta :

boffeemadrid
boffeemadrid boffeemadrid
  • 25-01-2019

Answer:

[tex](\frac{4}{3})=log_{125}(625)[/tex]

Step-by-step explanation:

The given equation is:

[tex]125^{\frac{4}{3}}=625[/tex]

Now, taking log to base 125 on both sides, we get

[tex]log_{125}(125^{\frac{4}{3}})=log_{125}(625)[/tex]

[tex](\frac{4}{3})log_{125}(125)=log_{125}(625)[/tex]

Now, log to the base 125 of 125 is equal to one as log to the base a of a is equal to one, therefore,

[tex](\frac{4}{3})=log_{125}(625)[/tex]

which is the required logarithmic form.


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