Question

Log 2 = 0•30103 than find the value of Log 200 = ?

Answer 1

HEYA!!!


HERE IS YOUR ANSWER, 


⇔ The answer to your question is :

→ log 2 = 0.30103 

SINCE,

→ log 200 = log (2 × 100)

→ log 200 = log 2 + log 100 

→ log 200 = log 2 + log 10²

→ log 200 = log 2 + 2log 10

→ log 200 = 0.30103 + 2(1)

→ log 200 = 2.30103  (ANS)


HOPE IT HELPS YOU,
THANK YOU. ^_^

Answer 2

Answer:

The value of log 200 = 2.30103

Step-by-step explanation:

Given,

log 2 = 0.30103

To find,

The value of log 200

Recall the formulas

log ab = log a+log b

log a² =2 log a

log₁₀ 10 = 1

Solution:

We have log 200 = log2×100

applying  the formula log ab = log a +logb we get,

= log2 + log100

= log 2 + log 10²

Applying the formula log a² =2 log a we get,

=log 2 + 2log10

substituting the value of log 10 we get

= log 2 + 2

Substituting the value of log 2 from the given statement

= 0.30103 + 2

= 2.30103

log 200 = 2.30103

∴ The value of log 200 = 2.30103

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