bizzeizzy
  • bizzeizzy
Solve the exponential equation. 8^3x =32
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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butterflydreamer
  • butterflydreamer
|dw:1433325126056:dw|
bizzeizzy
  • bizzeizzy
1 Attachment
butterflydreamer
  • butterflydreamer
here are some hints :) |dw:1433325279296:dw|

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butterflydreamer
  • butterflydreamer
firstly simplify |dw:1433325406385:dw|
bizzeizzy
  • bizzeizzy
512?
butterflydreamer
  • butterflydreamer
3 times 3x does not equal to 512.. 3 * 3x = 3 * 3 * x = ? So what does 3 times 3 equal to?
bizzeizzy
  • bizzeizzy
oh sorry lol.. 9
bizzeizzy
  • bizzeizzy
i put the equation you drew into my calculator and it said 512 haha
butterflydreamer
  • butterflydreamer
yes so 3* 3x = 3* 3 * x = 9*x = 9x. Therefore we know:|dw:1433326014799:dw| Since the base numbers are the SAME (both are base 2) This means the exponents (power) must be EQUAL.... therefore: |dw:1433326054143:dw|
butterflydreamer
  • butterflydreamer
*therefore divide both sides by 9 to find x.
bizzeizzy
  • bizzeizzy
okay so the answer is \[\frac{ 5 }{ 9 }\] !
butterflydreamer
  • butterflydreamer
that's corrreect :)
anonymous
  • anonymous
I know question is already done. But alternatively you can use the "change of base" method So you have 8 ^ 3x = 32 -> Log both sides ln8^3x = ln32 -> Move the log to the other side, by bring the power down 3x = ln(32) / ln(8) -> Divide the RHS by 3 x = [ln(32)/ln(8)] / 3 = 0.5555556 ~ 5/9
butterflydreamer
  • butterflydreamer
haha that's also true :) Nice job!
anonymous
  • anonymous
yeah haha XD No problem, its lovely how Mathematics can be solved with different methods.
bizzeizzy
  • bizzeizzy
thank you both!

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