Log x + log (x + 9) = 1

x = 1

Step-by-step explanation:

Mark as brainllest

x=1

Step-by-step explanation:

See below

Explanation:

Our goal is to have an expresion like this

log

A

=

log

B

due to one to one aplication of logarithm, we get

A

=

B

. We have to apply the rules of logarithm for product, quotient and power and use the fact

log

10

=

1

log

x

+

log

(

x

+

9

)

=

1

log

x

(

x

+

9

)

=

log

10

Now, we know that

x

(

x

+

9

)

=

10

x

2

+

9

x

−

10

=

0

using quadratic formula we get

x

=

−

10

and

x

=

1

reject negative because there is no logarithm and the only solution is

x

=

1

. Lets check it

log

1

+

log

(

1

+

9

)

=

0

+

1

=

1

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

probably .5

i can on others if necessary.