Logarithmic Equations

JEE Main Mathematics · Basic Maths · 4 questions, latest first

• The sum of squares of all the real solutions of the equation log_(x+1)(2 x^2+5 x+3)=4- log_(2 x+3)(x^2+2 x+1) is equal to ____.20268 April, Shift 2 · Q21
• The sum of all the real solutions of the equation log_(x+3)(6 x^2+28 x+30)=5-2 log_(6 x+10)(x^2+6 x+9) is equal to202623 January, Shift 2 · Q3
• If the solution of the equation log_cos x cot x+4 log_sin x tan x=1, x ∈(0, (π)/2), is sin^-1((α+√β)/2), where α, β are integers,…202330 January, Shift 1 · Q65
• Let S={α: log_2(9^2 α-4+13)- log_2(5/2 · 3^2 α-4+1)=2}. Then the maximum value of β for which the equation x^2-2(Σ_α ∈ S α)^2…202325 January, Shift 1 · Q82