Question

Expand the following.
log (200)​

Answer 1

Answer:

Log(200)=log(2×100)=log2+log100=log2+log10²

So, log(200)=log(2)+2

Step-by-step explanation:

log(a×b)=loga+logb

Answer 2

✫ Question Given :

• expand the following log(200) ?

✫ Required Solution :

✩ Value Given to us :

• ➤ log(200)

✩ According to Question :

• ➤ log10 ( 200 )

• ➤ log10 ( 2 × 100 )

✩ We can write 200 as [ 2 × 100 ]

• ➤ log10 (2) + log10 (100)

• ➤ log10 (2) + log10 (10²)

✩ we can write 100 as [ 10² ]

• ➤ log10(2) + 2log10(10)

• ➤ log10(2) + 2log10

✩ we know log10 = 1

• ➤ log10(2) + 2 × 1

• ➤ log10(2) + 2

✫ Therefore :

➤ Expanded Form log(200) is log(2) + 2

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