anonymous
  • anonymous
5^x=24
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Luigi0210
  • Luigi0210
Rewrite it in log form and plug it into your calculator \[\log_{5}24=x\]
anonymous
  • anonymous
like this? log(5*24
Luigi0210
  • Luigi0210
Do you know the change of base formula?

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More answers

jdoe0001
  • jdoe0001
well, the cancellation rule you want is \( \huge log_aa^x = x\)
Luigi0210
  • Luigi0210
\[\log_{a}x=\frac{logx}{loga}\]
jdoe0001
  • jdoe0001
woops... a bit .. anyhow hehe
anonymous
  • anonymous
I don't know base formula.
Luigi0210
  • Luigi0210
I just gave it to you
anonymous
  • anonymous
does it say log a first?
anonymous
  • anonymous
try \[\ln 5^x = \ln 24\] then bring down the power x next to the ln to get this: \[x \ln 5 = \ln 24\]...now divide both sides by \[\ln 5\] to get the following: \[x = (\ln 24)/(\ln 5) \]...use your calculator to get the final answer.
anonymous
  • anonymous
I get 1.97 is that correct?
Luigi0210
  • Luigi0210
Yup!
anonymous
  • anonymous
well the whole answer is 1.974635869
anonymous
  • anonymous
That's correct!? the short one I take it?
Luigi0210
  • Luigi0210
Both are correct, do you know if they want a rounded answer?
anonymous
  • anonymous
it says to round the decimal places as needed
Luigi0210
  • Luigi0210
Then 1.975 should work
anonymous
  • anonymous
ok! thanks

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