Question

Which equation can be solved using the inverse property?

Answer 1

Answer:

The equation which can be solved by inverse property is: $log_{2}x=log_{2} 6$.

Step-by-step explanation:

The inverse property of Logarithms:

$log_{b}b^{x}=x$

or

$g(x)=b^{x} \ \text{and} \ \ f(x)=log_{b} x$

From the provided option $log_{2}x=log_{2} 6$ can be solved using the inverse property.

Consider the option 1. $log_{2}x=log_{2} 6$

Use the inverse property of logarithms:

$2^{x}=2^{6}$

$x=6$

Thus, $log_{2}x=log_{2} 6$ can be solved by inverse property.

Answer 2

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