Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x =
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
=
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
Answer:
<u>14 students</u> at Hamilton Middle School have red hair.
Step-by-step explanation:
Given:
2%, percent of the students at Hamilton Middle School have red hair.
There are 700 students at Hamilton Middle School.
Now, to find the number of students at Hamilton Middle School having red hair.
Total number of students = 700.
Percent of the students at Hamilton Middle School have red hair = 2%.
Now, to get the number of students at Hamilton Middle School having red hair:

Therefore, 14 students at Hamilton Middle School have red hair.
Answer:
k = 8
Step-by-step explanation:
7(k - 5) = 21
k - 5 = 3
k = 8
Hope this helps!
Step-by-step explanation:
I think the answer is like this