Given:
The logarithmic expression is:
To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:
The given expression is:
Using the change-of-base formula, we get
Where, is a constant and c>0.
Let 
, then
Therefore, the correct option is a.
<h3>
Answer: 35°</h3>
Reason: The angle bisector cuts the original angle (70°) in half to get 70/2 = 35.
Yes. That point is in the solution space.
_____
You can also figure out algebraically whether the point satisfies the inequality
y < 2x + 10
Substitute the numbers
3 < 2·2 + 10
3 < 14 . . . . . . . . . . . True. (2, 3) is a solution
<span>commutative property of multiplication</span>
Answer:
The simplified form of the expression is 
.
Step-by-step explanation:
The expression is:
The division rule of exponents is:
The negative exponent rule is:
Simplify the expression as follows:
![\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B-3%7D%5Ccdot%20y%5E%7B2%7D%7D%7Bx%5E%7B4%7D%5Ccdot%20y%5E%7B6%7D%7D%3D%5Bx%5E%7B-3-4%7D%5D%5Ctimes%20%5By%5E%7B2-6%7D%5D)
Thus, the simplified form of the expression is .
