যদি log105 + log10(5x + 1) = log10(x + 5) + 1 হয়, তাহলে x এর মান কত?

প্রশ্ন: যদি log105 + log10(5x + 1) = log10(x + 5) + 1 হয়, তাহলে x এর মান কত?সমাধান: log105 + log10(5x + 1) = log10(x + 5) + 1⇒ log105 + log10(5x + 1) = log10(x + 5) + log1010⇒ log10 [5(5x + 1)] = log10 [10(x + 5)]⇒ 5(5x + 1) = 10(x + 5)⇒ 5x + 1 = 2x + 10⇒ 3x = 9∴ x = 3