1. ## Logarithmic equations

Hello everyone,

I just joined this forum. I'm having a little difficulty with these questions:

Write the following as logarithmic equations (in base 10) in simplest form:

a) K = 20 × 3Öb2
b) M = ab2
ddddddc3
And is there a way to enter numbers in superscript and subscript? I had to copy and paste from microsoft word.
Any help would be appreciated, I have my exams next week and am doing a variety of questions.
Thank you very much.

2. Originally Posted by bickitrainer
Hello everyone,

I just joined this forum. I'm having a little difficulty with these questions:

Write the following as logarithmic equations (in base 10) in simplest form:

a) K = 20 × 3Öb2
b) M = ab2
ddddddc3
And is there a way to enter numbers in superscript and subscript? I had to copy and paste from microsoft word.
Any help would be appreciated, I have my exams next week and am doing a variety of questions.
Thank you very much.
a) $\displaystyle K = 20 \times \sqrt[3]{b^2}$

$\displaystyle K = 20 \times b^{\frac{2}{3}}$

$\displaystyle \log_{10} K = \log_{10} 20 + \log_{10} \left(b^{\frac{2}{3}}\right)$

$\displaystyle \log_{10} K = \log_{10} 20 + \frac{2}{3} \log_{10} b$

b) $\displaystyle M = \frac{ab^2}{c^3}$

$\displaystyle \log_{10} M = \log_{10} (ab^2) - \log_{10} (c^3)$

$\displaystyle \log_{10} M = \log_{10} a + \log_{10} (b^2) - \log_{10} (c^3)$

$\displaystyle \log_{10} M = \log_{10} a + 2\log_{10} b - 3\log_{10} c$

Did you get it ???

3. Thank you very much! I understand now. But I need to know how you were able to type all of that in lol.

They were worth 6 marks altogether, I didn't know that was all you had to do.

I have some more questions:

Write the following equastions without logarithms:

a) LogP = 2 + logx

b) LogM = 1.477 - x