Laws of Logarithms

JEE Main Mathematics · Basic Maths · 3 questions, latest first

• Let α=1/4+1/8+1/16+… ∞ and β=1/3+1/9+1/27+… ∞. Then the value of (0.2)^log_√5(α)+(0.04)^log_5(β) is equal to:20264 April, Shift 2 · Q7
• Let a, b, c be three distinct positive real numbers such that (2 a)^log_e a=(b c)^log_e b and b^log_e 2=a^log_e c. Then 6 a+5 b c…202310 April, Shift 1 · Q21
• For three positive integers p, q, r, x^p q^2=y^q r=z^p^2 r and r=pq+1 such that 3,3 log_y x, 3 log_z y, 7 log_x z are in A.P.…202324 January, Shift 1 · Q72