Consider the following statemento 1 log10 50 is a rational number 2 log100 10 is an irrati...........

Quantitative Aptitude (CDS) Number System

Consider the following statemento :

1. log¹⁰ 50 is a rational number.

2. log¹⁰⁰ 10 is an irrational number.

Which of the statements given above is/are correct?

This questions was previously asked in

2023 CDS -1 MATH

1 only

2 only

Both 1 and 2

Neither 1 nor2

- Statement 1: log¹⁰ 50 is about finding the power to which 10 must be raised to get 50. Since 50 isn’t a power of 10, log¹⁰ 50 is irrational.

- Statement 2: log¹⁰⁰ 10 converts to (log¹⁰ 10) / (log¹⁰ 100). Which simplifies to 1/2, a rational number.

- Option 1: Incorrect as statement 1 is false.

- Option 2: Incorrect as statement 2 is false.

- Option 3: Incorrect, neither statement is correct.

- Option 4: Correct as both statements are false.

Option 4 is the correct answer.

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