The last step is to subtract 2
<span><span>Lets first solve the first one:</span></span>
<span><span>log<span>(x+9)</span></span>=<span>log<span>(2x−7)</span></span></span>
Convert the logarithmic equation to an exponential equation.
<span><span>10^<span>log<span>(x+9)</span></span></span>=<span>10^<span>log<span>(2x−7)</span></span></span></span>
Remember that <span><span>10^<span>logx</span></span>=x</span>, so
<span>x+9=2x−7</span>
Move values with 'x' to the right hand side.
<span>7+9=2x-x</span>
Combine like terms.
<span>16=x so,</span>
<span>x=16</span>
Check:
<span><span>log<span>(x+9)</span></span>=<span>log<span>(2x−7)</span></span></span>
If <span>x=16</span>
<span><span>log<span>(16+9)</span></span>=<span>log<span>(2<span>(16)</span>−7)</span></span></span>
<span><span>log25</span>=<span>log<span>(32−7)</span></span></span>
<span><span>log25</span>=<span>log25</span></span>
<span>x=16</span> is a solution.
Solve the second one like i solved this one, try it
Answer:
h'(x) = (-3x^3 +2x)/e^(3x)
Step-by-step explanation:
The formula for the derivative of a quotient is ...
(u/v)' = (vu' -uv')/v²
Using u = (x^3 +x^2) and v = e^(3x), this becomes ...
h'(x) = (e^(3x)(3x^2 +2x) -(x^3 +x^2)(3)(e^(3x))/e^(6x)
h'(x) = (-3x^3 +2x)/e^(3x)
Using the concept of break even point, it is found that 25334 items must be sold to reach the break even point.
-----------------------
The expense equation is:
The revenue equation is:
The break even point is the <u>value of q for which expense and revenue are equal,</u> thus:
Rounding up, 25334 items must be sold to reach the break even point.
A similar problem is given at brainly.com/question/21506090
Answer:
[-1,3]
Step-by-step explanation:
|2x|<x+3
calculate the absolute value
2*|x|<x+3
move < to left
2*|x|-x<3
split into possible cases
2x-x<3, x<0
2*(-x)-x<3, x<0
solve inequalities
[0,3]
[-1,0]
find union
[-1,3]