<span>log(x-3)+log(x) = 2 + log(x+2)
---------------------------
log[(x-3)x] - log(x+2) = 2
-----
log[(x^2-3x)/(x+2)] = 2
----
(x^2-3x)/(x+2) = 2^2
-------
x^2-3x = 4x+8
x^2 - 7x - 8 = 0
Factor:
(x-8)(x+1) = 0
Positive solution:
x = 8</span>
Answer:
![\sqrt[15]{x^7}](https://tex.z-dn.net/?f=%5Csqrt%5B15%5D%7Bx%5E7%7D)
Step-by-step explanation:
If we have the expression
, we have to think about exponent rules.
If we have
, then the value will be equal to
.
So
simplified will be 
Converting
and
into fifteenths (lcm) gets us
.
We can convert
into a radical by taking the denominator root of x to the numerator.
.
Hope this helped!
Answer: x=−3 or x=−5
Step-by-step explanation:
Step 1: Factor left side of equation.
(x+3)(x+5)=0
Step 2: Set factors equal to 0.
x+3=0 or x+5=0
x=−3 or x=−5
Ok? Where’s the rest of the question.
Answer:
Look below.
Step-by-step explanation:
FYI: Im a bit confused on what this question is asking but I am responding based on what I believe the question is asking.
The point 100 spaces to the left of -1 would be (-101,0) and the point 100 spaces to the left of -1 would be (100,0).
The point(s) 100 spaces to the left of -1 would be (- infinity, -1) and the point(s) 100 spaces to the right would be (-1, infinity).