x = 8.66 ft
Step-by-step explanation:
cos 30 = adj/hyp = x/10
---> x = (10 ft)cos30
= 8.66 ft
An important rule of logs is a*log b = log b^a.
Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or
(log to the base 5 of ) (25x^6).
Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).
Here, the addition in the middle of the given expression indicates multiplication:
2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.
Here we've expressed the given log quantity as a single log.
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Answer:
The zeros are : 0, 3, -6, 7.
Step-by-step explanation:
Zeros of a polynomial is the values at which the polynomial becomes zero. They are also called the roots of the polynomial.
When (x - a)(x - b) = 0, we can say that either (x - a) = 0 or (x - b) = 0. At least one zero renders the whole equation to be zero.
Now, we are given that: x. (x - 3). (x + 6). (x - 7) = 0
⇒ To make the equation zero, at least one of the following should be true:
x = 0
x - 3 = 0 ⇒ x = 3
x + 6 = 0 ⇒ x = -6
x - 7 = 0 ⇒ x = 7
Therefore, x can take any one of the above values and that would make the polynomial zero.
