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.
Answer:
y= -28
Step-by-step explanation:
35+4=3y+123
39=3y+123
-3y+39=123
-3y=123-39
-3y=84
y= -28
Answer:
19.6 cubic centimeters
Step-by-step explanation:
The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.
Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is
.
We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:
x / 66 = 8 / 27
Cross-multiply:
27x = 66 * 8 = 528
Divide by 27:
x = 528/27 ≈ 19.6
The answer is thus 19.6 cubic centimeters.
<em>~ an aesthetics lover</em>
Answer:
y=3x+4
Step-by-step explanation:
since the line is parallel it has the same slope so we have y = 3x + b. plug in the point (2,10) to get 10 = 3*2 + b, so b=4. so the equation is y = 3x +4