Answer:

Step-by-step explanation:
We want to rewrite the following as a single logarithm:

We introduce logarithm in the first term to get:

Recall that:

We apply this property to get:

This gives:



Answer:

Step-by-step explanation:
The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:
, where,


Plug in the values into the equation



I think the answer would be 1,000
10x10= 100 (power of 2)
10x10x10= 1,000 (power of 3)
Hopefully this helps :) You can ask any questions if you don’t understand
Answer:
{-2/3, 2/3, 3}
Step-by-step explanation:
The equation can be factored by grouping.
f(x) = (9x^3 -27x^2) +(-4x +12)
f(x) = 9x^2(x -3) -4(x -3)
f(x) = (9x^2 -4)(x -3)
We recognize the first factor as the difference of squares, so know it can be further factored to give ...
f(x) = (3x -2)(3x +2)(x -3)
The zeros are the values of x that make these factors be zero:
3x -2 = 0 ⇒ x = 2/3
3x +2 = 0 ⇒ x = -2/3
x -3 = 0 ⇒ x = 3
The zeros of the polynomial are x = -2/3, 2/3, 3.