`4(10/x)^2-6(10/x)^2+3(10/x)^2=1`

Solve the following equations. (vii) 4^(log_10x+1)-6^(log_10x)-2.3^(log_10x^2+2)=0

Prove that ^10 C_1(x-1)^2-^(10)C_2(x-2)^2+^(10)C_3(x-3)^2+-^(10)C_(10)(x-10)^2=x^2

Solve |x-1|^((log_(10) x)^2-log_(10) x^2=|x-1|^3

lim_(xtooo) ((x+1)^(10)+(x+2)^(10)+...+(x+100)^(10))/(x^(10)+10^(10)) is equal to

The value of lim_(xrarroo)[(1^((1)/(x))+2^((1)/(x))+3^((1)/(x))+…+10^((1)/(x)))/(10)]^(10x) is

Evaluate: int_-1^1(x^3+4x^2-10)/((x+3)^2(x+2)^3)dx

If the fraction (x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10) reduces to a quotient of two functions then a equals

If the fraction (x^3+(a-10)x^2-x+a-6)/(x^3+(a-6)x^2-x+a-10) reduces to a quotient of two functions, then a equals______.

Solve the following equations for x and y: log_10x+log_10(x)^(1/2)+log_10(x)^(1/4)+….=y (1+3+5+…+(2y-1))/(4+7+10+..+(3y+1))=20/(7log_10x)

The equation (log_10x+2)^3+(log_10x-1)^3=(2log_10x+1)^3 has