how to calculate log(1/0.02) without a calculator.

Question

hero · Answer

I thought this was going to be a tutorial where the OP would explain how to do it.

anonymous · Answer

$$Log(\frac{a}{b}) = Log(a) - Log(b)$$

Use this and try to solve further...

anonymous · Answer

Yeah honestly the closest you can get is either log(50) or log(1) - log(0.02) = -log(0.02)

in either case not much you can do.

hero · Answer

How would you do log (a) without a calculator? lol

anonymous · Answer

Maybe its not base 10?

hero · Answer

$$\log_{10} x = y \equiv 10^y = x$$

anonymous · Answer

$$Log(1) - Log(0.02)$$

Log1 is 0..

anonymous · Answer

How will you find y without using calculator??

anonymous · Answer

@bronzegoddess what is the base of your log?

anonymous · Answer

$$0 - Log(\frac{100}{2}) = - [Log(100) - Log(2)]$$

Log(100) = 2 because:

$$Log(100) = Log(10)^2 = 2Log(10) = 2 \times 1 = 2$$

$$ = -[2 - Log(2)] = [Log(2) - 2]$$

Log(2) has standard value which we should remember Log(2) = 0.3010

Put in that:

$$(2 - 0.3010)$$

This will be answer...

hero · Answer

I was going to use 100/2

anonymous · Answer

No, I was

anonymous · Answer

Then use...

anonymous · Answer

No, you do it

anonymous · Answer

the base is 10

anonymous · Answer

I think when base is not mention, then we take it as 10..
Well, I think so..

anonymous · Answer

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