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25 votes
Rewrite e^d=c in logarithmic form.
It says this is wrong, I'm not sure what I'm doing wrong

Rewrite e^d=c in logarithmic form. It says this is wrong, I'm not sure what I'm doing-example-1
User Roninblade
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8.4k points

2 Answers

5 votes

Explanation:

this is right.

but maybe your system wants you to use the special acronym for "logarithmus naturalis" (logarithm to the base of e) : ln

ln(c) = d

User AndOs
by
8.4k points
5 votes

Answer:

ln(c) = d

Explanation:

There are two types of logarithm:

  • Common Logarithm
  • Natural Logarithm

Common Logarithm is a logarithm with any base with real positive numbers other than e.

Here are some examples of what are common logarithm:


\displaystyle \large{\log_3 9}\\\displaystyle \large{\log_{(1)/(2) 2}

Natural Logarithm is a logarithm with a ‘e’ base only. You may notice that the answer you put in has a “e” base, that’s a natural logarithm.

It’s not wrong to answer as a
\displaystyle \large{\log_e c = d} but the form is not commonly used. The natural logarithm has its own special form which is
\displaystyle \large{\ln}, the “ln” simply means the logarithm base e.

Here’s the comparison of writing ln and log base e:


\displaystyle \large{\ln 2 = \log_e 2}\\\displaystyle \large{\ln 10 = \log_e 10}\\\displaystyle \large{\ln e = \log_e e \to 1}

Therefore, your answer should be in “ln” form rather log base e.

Hence, the answer should be:
\displaystyle \large{\ln (c) = d}

Hope this helps! Let me know if you have any questions.

User Prabin Badyakar
by
7.9k points

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