Answer with Step-by-step explanation:
a.

Taking both sides log

Using identity:

Using identity:


b.
We know that

Using identity

c.

Substitute the values then we get

By using 
Hence, 
Answer:
f(x) = 2x +1
Step-by-step explanation:
Apparently the ordered pairs are ...
(x, f(x)) = (1, 3), (2, 5), (3, 7), (4, 9)
We note that as x increases by 1, the value of f(x) increases by 2. The difference between f(x) and 2x is 3-2·1 = 1, so we have ...
f(x) -2x = 1
f(x) = 2x +1 . . . . . . add 2x
Answer:
You need to study to do good on those exams bud.
Answer:
0.003981 . . . . moles per liter
Step-by-step explanation:
The concentration of H+ ions in the acid will be ...
10^(-2.4) ≈ 0.003981 . . . . moles per liter
The concentration of H+ ions in the base will be ...
10^-11.2 ≈ 0.000 000 000 006310 . . . . moles per liter
To a few decimal places, the difference is ...
0.003981 . . . . moles per liter
_____
The two numbers differ by about 9 orders of magnitude, so the value of the difference between the larger and the smaller is essentially the value of the larger number. The smaller one, by comparison, can be considered to be zero (for subtraction purposes).
Answer:
The answer would be 7. By using PEMDAS 6 to the power of 2 equals 36. Then you divide 36 by 3 to get 12. The final step would be to subtract 5 from 12 to get 7. <u>So 7 is your answer</u><u>.</u>