Question

The solution to log_6(\frac{x+4}{x-1})=1 is found. Which one of the following would not be a solution step?

Answer 1

Step-by-step explanation:

.

log

6

(

x

2

+

7

x

+

12

)

=

1

Rewrite

log

6

(

x

2

+

7

x

+

12

)

=

1

in exponential form using the definition of a logarithm. If

x

and

b

are positive real numbers and

b

≠

1

, then

log

b

(

x

)

=

y

is equivalent to

b

y

=

x

.

6

1

=

x

2

+

7

x

+

12

Solve for

x

Tap for more steps...

x

=

−

1

,

−

6

Exclude the solutions that do not make

log

6

(

x

+

3

)

+

log

6

(

x

+

4

)

=

1

true.

x

=

−

1