anonymous
  • anonymous
Convert log110 to an expression containing only natural logarithms
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
change of base formula says \[log_b(x)=\frac{log_a(x)}{log_a(b)}\] but i cannot read exactly what you wrote. your answer will look like \[\frac{ln(x)}{ln(10)}\] if your base is ten.
anonymous
  • anonymous
Thanks, the question is really Log10(110) (10 being th base) So what is the x value on the top of the fraction [ln(x)]?
anonymous
  • anonymous
ok change of base formula: on top goes log of input, on bottom goes log of base.

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anonymous
  • anonymous
k
anonymous
  • anonymous
the base here is ten, so you use \[log_10(110)=\frac{ln(110)}{ln(10)}\]
anonymous
  • anonymous
this is why fancy calculators only have the natural log. you can always convert. it is also how you solve \[b^x=A\] for x
anonymous
  • anonymous
Thanks alot my good man.
anonymous
  • anonymous
welcome

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