Is it true that `x=e^(logx)` for all real

Is it true that x= e^(log x) for all real x ?

Suppose that f(0)=-3 and f'(x)<=5 for all real values of x . Then the largest value of f(2) can attain is

If f(x) = |x|^(3) , show that f''(x) exists for all real x and find it

Let F(x) be an indefinite integral of sin^(2)x Statement-1: The function F(x) satisfies F(x+pi)=F(x) for all real x. because Statement-2: sin^(2)(x+pi)=sin^(2)x for all real x. A) Statement-1: True , statement-2 is true,statement-2 is correct explanation for statement-1 (b) statement-1 true, statement-2 true and Statement -2 is not a correct explanation for statement -1 c) Statement-1 is True, Statement -2 is False. D) Statement-1 is False, Statement-2 is True.

Identify the Quantifiers in the following statements: for all real number x and y ,x.y=y.x

If A = sin^2 theta+ cos^4 theta , then for all real values of theta

Identify the Quantifiers in the following statements: For all real numbers x with xgt3,x^(2) is greater than 9.

Let f(x) be periodic and k be a positive real number such that f(x + k) + f (x) = 0 for all x in R . Then the period of f(x) is

Let f(x) = {{:(int_(0)^(x){5+|1-t|}dt",","if",x gt 2),(5x + 1",","if",x le 2):} Test f(x) for continuity and differentiability for all real x.

Find all values of the parameter a for which the inequality a.9^x +4(a-1)3^x+a gt 1 is satisfied for all real values of x