How can I make this exercise?? Please Help
1 answer:
x = 3 or x = 1
note that log 5 is usually taken to mean 5
using the law of logarithms
logx - logy = log ()
the right hand side can be expressed as
log 10000 - log 16 = log () = log 625
divide both sides by log 5
x² - 4x + 7 = = 4
subtract 4 from both sides
x² - 4x + 3 = 0 ← in standard form
(x - 3 )(x - 1) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 1 = 0 ⇒ x = 1
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Option C
The zeros of the polynomial function f(x) = x^3 - 5x^2 - 6x is x = 0 and x = -1 and x = 6
<h3><u>Solution:</u></h3>Given that polynomial function is f(x) = x^3 - 5x^2 - 6x
We have to find the zeros of polynomial
To find zeros, equate the given polynomial function to 0. i.e f(x) = 0
Taking "x" as common term,
Equating each term to zero, we get
Thus one of the zeros of function is x = 0
Now let us solve
We can rewrite -5x as -6x + x
Taking "x" as common from first two terms and -6 as common from next two terms
Taking (x + 1) as common term,
(x + 1)(x - 6) = 0
x + 1 = 0 and x - 6 = 0
x = -1 and x = 6
Thus the zeros of given function is x = 0 and x = -1 and x = 6