Respuesta :

sqdancefan

Answer:

  [tex]\text{\bf{C.}}\quad\log_b{N}=p\ \text{and}\ b^p=N[/tex]

Step-by-step explanation:

The above answer is basically the definition of the log function. The log function gives you the exponent (p) that results in a number (N) when the base (b) is raised to that power.

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The one thing I try to remember about logarithms is that a logarithm is an exponent.

Answer:

Option C.

Step-by-step explanation:

We need to find the pairs of equivalent statements.

According to the properties of logarithm,

[tex]log_ax=b\Leftrightarrow x=a^b[/tex]

Using this property we get

[tex]log_pN=b\Leftrightarrow N=p^b[/tex]

Option A is incorrect.

[tex]N^{1/b}=p\Leftrightarrow N=p^b[/tex]

Option A is incorrect.

[tex]log_bN=p\Leftrightarrow N=b^p[/tex]

Option C is correct.

[tex]log_Nb=p\Leftrightarrow b=N^p\Rightarrow b^{\frac{1}{p}}=N[/tex]

Option D is incorrect.

Therefore, the correct option is C.

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