Respuesta :

The inverse property of a logarithm is
loga a^x = x
or
a^loga x = x
Therefore,from the choices, the equation than can be solved using the inverse property is
log2x = log26
which if simplified and solved results to
x = 6

Answer:

The equation which can be solved by inverse property is: [tex]log_{2}x=log_{2} 6[/tex].

Step-by-step explanation:

The inverse property of Logarithms:

[tex]log_{b}b^{x}=x[/tex]

or

[tex]g(x)=b^{x} \ \text{and} \ \ f(x)=log_{b} x[/tex]

From the provided option [tex]log_{2}x=log_{2} 6[/tex] can be solved using the inverse property.

Consider the option 1. [tex]log_{2}x=log_{2} 6[/tex]

Use the inverse property of logarithms:

[tex]2^{x}=2^{6}[/tex]

[tex]x=6[/tex]

Thus, [tex]log_{2}x=log_{2} 6[/tex] can be solved by inverse property.

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