<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
When there is a midpoint in a line segment, the two segments that are then produced have to be equal. So that means that because E is a midpoint of DF, DE=EF.
Set up the equation.
DE=EF
2x+4=3x+1
Then solve for x.
x=3
Then plug it back in the equation to find DE and EF.
DE=2x+4=2(3)+4=10
Because DE=EF then EF is also 10.
DF is made from the addition of DE and EF so DF is twice EF.
DF= 20
DE= 10, EF= 10, DF= 20
Hope this helps.
Answer:
S=157
Step-by-step explanation:
an= a1+(n-1)d
a2=80+(2-1)(-3)
a2=80-3
a2=77
Sn=(a1+an)*n/2
S2=(80+a2)*2/2
S2=(80+77)*1
S2=157
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>
Answer: $9.87
Step-by-step explanation: To find the average add both 15.84 + 3.9 and you get 19.74
Divide 19.74 by 2 you get $9.87
~ Komaljeet (I hope this helped) ♥