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
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.