Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer.log (x+8)- log 2- log (5x+2)Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The solution set is(Simplify your answer.se a comma to separate answers as needed.)OB. There are infinitely many solutions..O C. There is no solution.ntssessClick to select and enter your answer(s) and then click Check AnsweribrAll parts showingChecClear AllQuestion 15 (0/1)deQuestion 14 (033/1)Question 13 (1/1)ee here to searchupH EWL ET T- PACKARDf3f4fsf6f8f9ho12&7356ORTYUFGK11PO

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Asked Aug 3, 2019
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Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer.
log (x+8)- log 2- log (5x+2)
Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is
(Simplify your answer.se a comma to separate answers as needed.)
OB. There are infinitely many solutions..
O C. There is no solution.
nt
ss
ess
Click to select and enter your answer(s) and then click Check Answer
ibr
All parts showing
Chec
Clear All
Question 15 (0/1)
de
Question 14 (033/1)
Question 13 (1/1)
e
e here to search
up
H EWL ET T- PACKARD
f3
f4
fs
f6
f8
f9
ho
12
&
7
3
5
6
O
R
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U
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K
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O
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Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. log (x+8)- log 2- log (5x+2) Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer.se a comma to separate answers as needed.) OB. There are infinitely many solutions.. O C. There is no solution. nt ss ess Click to select and enter your answer(s) and then click Check Answer ibr All parts showing Chec Clear All Question 15 (0/1) de Question 14 (033/1) Question 13 (1/1) e e here to search up H EWL ET T- PACKARD f3 f4 fs f6 f8 f9 ho 12 & 7 3 5 6 O R T Y U F G K 1 1P O

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Expert Answer

Step 1

We are given logarithmic  equation as

 

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log (x+8)-log(2) log(5x+ 2)

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Step 2

We can use property of log

and combine logs

 

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log (x 8)og (2) log (5. 2) a log (a)-log (b) log b x+8. )= log(5x 2) log( 2 8 log 2 =101og(5x-2) 10 х+8 - 5х + 2 2

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Step 3

Now, we can solve for ...

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x+8 — 5х + 2 2 Multiply both sides by 2 х+8 .2 5x 22.2 2 x8 10x4 9x 4 4 х —D х- 9

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