Which is equivalent to log Subscript 2 Baseline n = 4?
log n = StartFraction log 2 Over 4 EndFraction
n = StartFraction log 2 Over log 4 EndFraction
n = log 4 times log 2
log n = 4 log 2

Respuesta :

Answer: log n = 4log2

Step-by-step explanation:

The 4th option is correct. The expression [tex]\log n=4(\log 2)[/tex] is equivalent to the given expression.

Important information:

  • The given expression is [tex]\log_2 n=4[/tex].

We need to find the equivalent equation.

Logarithms:

Using the property of logarithm, the given expression can be written as:

[tex]\dfrac{\log n}{\log 2}=4[/tex]           [tex]\left[\because \log_ab=\dfrac{\log b}{\log a}\right][/tex]

[tex]\log n=4(\log 2)[/tex]

Thus, the 4th option is correct.

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