Question

Find x, if log 10(×+5)​

Answer 1

Answer:

Option (B) X = 2

Explanation:

Hey Mate,

Given Equation : log₁₀ 5 + log₁₀ (5X + 1) = log₁₀ (X + 5) + 1

Solution : log ₁₀ 5 + log ₁₀ (5X + 1) = log ₁₀ (X + 5) + 1

=> log ₁₀ 5 + log ₁₀ (5X + 1) = log ₁₀ (X + 5) + log ₁₀ 10  

=> log ₁₀ [5 (5X + 1)] = log ₁₀ [10(X + 5)]

=> 5(5X + 1) = 10(X + 5)

=> 25X + 5 = 10X + 50

=> 15X = 45

=> X = 3