Question

log 2 base 10 +log 5 base 10 value=?
(A)1
(B)2
(C)5
(D)10​

Answer 1

we know that

log (ab) = log a + log b

where base of log is same for log a ,log b ,logab

$log_{10}(2) + log_{10}(5) = log_{10}(10)$

we know that log 10 where base is 10 is 1

then ,.yr answer is 1

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Answer 2

Therefore the value of the given logarithmic number log₁₀2 + log₁₀5 is '1'. ( Option-A )

Given:

The logarithmic value: log₁₀2 + log₁₀5

To Find:

The value of log₁₀2 + log₁₀5.

Solution:

The question can be solved very easily as shown below.

Given logarithmic question: log₁₀2 + log₁₀5

Let y = log₁₀2 + log₁₀5

⇒ y = log₁₀( 2 × 5 )   [ ∵ log a + log b = log ab ]

⇒ y = log₁₀ 10 = 1      [ ∵ logₐ a = 1 ]

But y = log₁₀2 + log₁₀5

So y = log₁₀2 + log₁₀5 = log₁₀ 10 = 1

Therefore the value of the given logarithmic number log₁₀2 + log₁₀5 is '1'.

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