anonymous
  • anonymous
5^log(base x)5 = x^3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
first, by definition of logarithms, this is the same as writing \[\log_x(5) = \log_5(x^3)\] From here, we can use the fact that \[\log_b(a) = \frac{\ln(a)}{\ln(b)}\] to simplify: \[\frac{\ln(5)}{\ln(x)} = \frac{\ln(x^3)}{\ln(5)}\] From here, you just need to solve for x.
anonymous
  • anonymous
which i would multiply both 5's, and have it like so:
anonymous
  • anonymous
\[\ln(5)*\ln(5)/lnx*lnx^3\]

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anonymous
  • anonymous
is that right?
anonymous
  • anonymous
Do you mean \[\ln(5)^2 = \ln(x)*\ln(x^3)\]? Then, remember that \[ln(x^3)\] is the same thing as \[3*\ln(x)\], so we have \[\ln(5)^2 = 3\ln(x)^2\] and from there solving should be simple.
anonymous
  • anonymous
can you get on http://www.twiddla.com/503175 and explain please?

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