Respuesta :

ANSWER

D.

EXPLANATION

If

[tex] ln(x) = y[/tex]

Then solving for x will gives us:

[tex] {e}^{ ln(x) } = {e}^{y} [/tex]

[tex]x = {e}^{y} [/tex]

This first pair are equivalent:

If

[tex]log_{b}(N)= P[/tex]

we

Then,

[tex] {b}^{log_{b}(N) = {b}^{ P}} [/tex]

[tex]N= {b}^{ P}[/tex]

This pairs are also equivalent.

If

[tex]x = \sqrt{y} [/tex]

Then we rewrite as an index to obtain;

[tex]x = {y}^{ \frac{1}{2} } [/tex]

This pair is also equivalent.

[tex]log_{p}(N)= b[/tex]

Then

[tex] {p}^{log_{p}(N)} = {p}^{b} [/tex]

[tex] {p}^{b} = N[/tex]

But this was not the pair given in the last option.

The correct answer is D

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