Unknown Variable ‘$L$’ encountered in equation

Question

I was going through S.L. Loney’s Plane Trigonometry-Part 1.

I encountered this equation over here :

$$ \sin{B} = \frac{b}{c}$$

Where $B$ is an angle of a Triangle $ABC$, $b$ and $c$ respective sides opposite to angles $B$ and $C$. ($c$ - hypotenuse , triangle is right angled)

Now , the problem arises when : the equation takes form -

$$L \sin{B} = 10 + \log{b} - \log{c}$$

I know he is taking $\log$ on both sides, but I really don’t know what ‘$L$’ is for and how $10$ came into the situation. Kindly help. Is he taking $\log$ to the base of $10$ or $e$? Kindly help, I really cannot sort how ‘$L$’ came into the situation.

You'll need to give more context if you want help understanding this. No one can guess the meaning of a variable without context. — Jake Mirra, Aug 16 '20 at 04:30
@Patricio no it isn’t . I’ve seen this in other proofs by S.L. Loney too in the same book. — Vulcan, Aug 16 '20 at 04:37

score 1 · Answer 1 · answered Aug 16 '20 at 05:02

1

The meaning of the notation is explained on pp.166-67.

answered Aug 16 '20 at 05:02

lonza leggiera

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thanks for your help ! – Vulcan Aug 16 '20 at 06:39

Unknown Variable ‘$L$’ encountered in equation

1 Answers1