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anonymous

  • 5 years ago

Convert log110 to an expression containing only natural logarithms

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  1. anonymous
    • 5 years ago
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    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.

  2. anonymous
    • 5 years ago
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    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)]?

  3. anonymous
    • 5 years ago
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    ok change of base formula: on top goes log of input, on bottom goes log of base.

  4. anonymous
    • 5 years ago
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    k

  5. anonymous
    • 5 years ago
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    the base here is ten, so you use \[log_10(110)=\frac{ln(110)}{ln(10)}\]

  6. anonymous
    • 5 years ago
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    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

  7. anonymous
    • 5 years ago
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    Thanks alot my good man.

  8. anonymous
    • 5 years ago
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    welcome

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spraguer (Moderator)
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