Question

Assertion: If log₁₀ a = x then 10^x+2 = 100a.

Reason: 10^x+2 = 10^x × 10² = 100 × 10^x.

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

Both A and R are true and R is the correct reason for A.

Explanation:

Given log₁₀ a = x, by definition, a = 10^x.

Therefore, 10^x+2

= 10^x × 10²

= 10^x × 100

= 100 × 10^x

= 100a

Hence, both A and R are true and R correctly explains A.