Question

Which of the following statements is not correct?
A.log10 10 = 1
B.log (2 + 3) = log (2 x 3)
C.log10 1 = 0
D.log (1 + 2 + 3) = log 1 + log 2 + log 3

Answer 1

Answer:. b

Step-by-step explanation:

log(2+3)=log5

log(2*3)=log6

which is not equal

Answer 2

The statement given in option (B) is incorrect.

• We will analyze each of the options one by one.

• In the first option, we need to find the value of  $log_{10}$ (10) . We know that the value of  $log_{10}$ (10) is 1.

     ⇒ $log_{10}$ (10) = 1. Hence option (A) is correct.

• Let us analyze the second option. From the properties of logarithms, we know that

        log(a x b) = log a + log b.

        So, log (2 x 3) = log 2 + log 3 = 0.7781

        In our LHS we have log (2 + 3) = 0.6989

        ⇒ LHS ≠ RHS.

        ⇒ log (2 + 3) ≠ log (2 x 3).

         Hence option (B) is correct.

• Let us analyze the third option. From the properties of logarithms, we know that,

        $log_{10}$ (1) = 0.

        Hence option (C) is not correct.

• Let us analyze the fourth option.

        log 1 = 0, log 2 = 0.3010, log 3 = 0.4771

    ⇒ log 1 + log 2 + log 3 = 0.7781

    ⇒ RHS = 0.7781

        In LHS we have log (1 + 2 + 3) = log 6 = 0.7781

        Hence option (D) is correct.

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