meredithtepe meredithtepe
  • 09-03-2020
  • Mathematics
contestada

Express 4^2 =16 in logarithmic form

Respuesta :

carlosego
carlosego carlosego
  • 16-03-2020

For this case we have that by defining logarithm properties, it is true that:

[tex]log_ {b} (a) = c[/tex] is equivalent to [tex]b ^ c = a[/tex]

So, if we have the following expression:

[tex]4 ^ 2 = 16\\b = 4\\c = 2\\a = 16[/tex]

We rewrite it as:

[tex]log_ {4} (16) = 2[/tex]

Answer:

The equivalent expression is:

[tex]log_ {4} (16) = 2[/tex]

Answer Link

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