Question

Which equation can be solved using the inverse property?

log2x = log26
e3.5 = e2x
102x = 10-6
log4x = -1

Answer 1

The equation which can be solved by inverse property is:
`log_(2)x=log_(2) 6`.

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