Which expression is equivalent to log c x2-1/5x
2 answers:
Hello! For this problem we need to make use of two existing logarithmic properties. These are:
1.
is equal to 
2.
is equal to 
Following the first property, we can simplify the expression to
.
Then, we will use the second property to the term 5x. The final form of the expression would then be
.
ANSWER: (third option)
1.
2.
Following the first property, we can simplify the expression to
Then, we will use the second property to the term 5x. The final form of the expression would then be
ANSWER:
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Answer:
The solutions are
and the x-intercepts of
are
Step-by-step explanation:
Finding the solutions to means finding the roots, a root is where the function is equal to zero.
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
To find the roots you need to:
Rewrite the equation with and
Solve by factoring
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions to the quadratic equation are:
Substitute back , solve for x
Apply the difference of squares formula
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions are:
Because two of the solutions are complex roots the only x-intercepts are