Question

If Log3274=3.5150 then find the value of Log0.3274. (options given in question photo)

Answer 1

$\Large\bold{\boxed{\boxed{Your\:Question}}}$ :-- If Log3274=3.5150 , we have to find Log0.3274 . ?

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$\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:Answer}}}}}}}}}}$ :-----

1000 < 3274 < 10000

Multiplying by log(base10) or log(10) we get,,,,

log(10)1000 < log(10)3274 < log(10)10000

Now, we know that ,,

Log(10)10 = 1

Log(10)100 = 2

Log(10)1000 = 3

Log(10)10000 = 4

Putting these values we get, :--

3 < log(10)3274 < 4

3 < 3.5150 < 4

log(10)3274 = 3 + 0.5150

we can write ,

0.1 < 0.3274 < 1

Again, Multiplying by log(base10) or log(10) we get

log(10)0.1 < log(10)0.3274 < log(10)1

-1 < log(10)0.3274 < 0

==>> log(10)0.3274 = -1 + (0.5150)

==>> log(10)0.3274 = (-1.5150)

$\Large\bold{\boxed{\boxed{</strong><strong>Option</strong><strong>\:</strong><strong>B</strong><strong>}}}$

(Mark as brainlist)