anonymous
  • anonymous
Help Use the following function. log4(x + 3) = 2 The second step would be: Select one: a. Take the square root of each side. b. Take the log of each side. c. Divide each side by 16. d. To simplify the equation using inverses to isolate for x.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Zarkon
  • Zarkon
you might want to clarify if your equation is \[\log4(x+3)=2\]or \[\log_{4}(x+3)=2\]
anonymous
  • anonymous
the 2nd one sorry
Michele_Laino
  • Michele_Laino
hint: using the definition of logarithm, we can write: \[\huge 2 = {\log _4}16\]

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campbell_st
  • campbell_st
ok... so if you raise each term as a power of the base then you will be able to solve it if \[\log_{a}(b) = n\] then \[a^{\log_{a}(b)} = a^n\] which can be simplified to \[b = a^n\] you need to apply this rule for logs to your porblem where a = 4, b = x + 3 and n = 2 hope it helps
anonymous
  • anonymous
okay so once we write that @Michele_Laino what do we do next?
Michele_Laino
  • Michele_Laino
using my identity above, we can rewrite your equaton as follows: \[\huge {\log _4}\left( {x + 3} \right) = {\log _4}16\]
Michele_Laino
  • Michele_Laino
then we can equate the numbers of both logarithm, like below: \[\huge x + 3 = 16\] please solve for \(x\)
anonymous
  • anonymous
13
anonymous
  • anonymous
i still dont understand for the answer .. what was the 2nd step?
Michele_Laino
  • Michele_Laino
that's right! So, what is the right option?
anonymous
  • anonymous
B?
Michele_Laino
  • Michele_Laino
as we can see, when I wrote my identity, I took the logarithm of both sides, so you are right, it is option B
anonymous
  • anonymous
thanks can you help me again?
Michele_Laino
  • Michele_Laino
ok!
anonymous
  • anonymous
Use the following equation: log2x + log2(x – 7) = 3 The second step would be to: Select one: a. Divide both sides by 3 to simplify. b. Re-write the equation using the definition of logarithms. c. Add (x – 7) to both sides to simplify. d. Either A or C
Michele_Laino
  • Michele_Laino
If I use the definition of logarithm, I can write this: \[\huge 3 = {\log _2}8\]
anonymous
  • anonymous
oh okay
anonymous
  • anonymous
so the 2nd step would be Re-write the equation using the definition of logarithms.
Michele_Laino
  • Michele_Laino
after that it is simple to solve the logarithm equation. So what is the right option?
Michele_Laino
  • Michele_Laino
that's right! It is option B
anonymous
  • anonymous
Hey i need help in another one i think i got the answer to it but i need to make sure ill tag you in it ??
Michele_Laino
  • Michele_Laino
ok!
anonymous
  • anonymous
hold on!

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