Logarithm And Its Application
Let f:R→Rbe a differentiable function with f(0)=1and satisfying the equation f(x+y)=f(x)fprime(y)+fprime(x)f(y)for all x, y∈R. Then, the value of (log)e(f(4))is _______
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If (43)3+(121)3+(241)3+? upto 15 terms =225k, then k is equal to (A) 108 (B) 9 (C) 27 (D) 54
x→∞lim(n2+12n+n2+22n+?+5nn) is equal to (A) 2π (B) 4π (C) tan−1(2) (D) tan−1(3)
The value of (((log)29)2)(log)2((log)29)1×(7)(log)471is ________.
Let (x0,y0) be the solution of the following equations In (2x)In2=(3y)ln3and 3lnx=2lny Then x0 is