Home
Class 12
MATHS
Are the following functions identical ? ...

Are the following functions identical ?
` f(x) = log ( x-2) + log (x-3) and phi (x) log (x-2) (x-3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (2) |40 Videos

  • FUNCTIONS

    ML KHANNA|Exercise PROBLEM SET (3) |71 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos

  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (3) FILL IN THE BLANKS|9 Videos

Similar Questions

Explore conceptually related problems

Are the following functions identical ? f(x) = log x^2 and phi (x) = 2 log x

Find for what values of x the following functions would be identical. f(x)=log(x-1)-log(x-2) and g(x)=log((x-1)/(x-2))

Are the following functions identical? (a) f(x)=x/x and phi (x)=1 (b) f(x)=x and phi (x)=(sqrtx)^(2) , (c) f(x)=1 and phi (x)=sin^(2) x+cos^(2) x (d) f(x)=log (x-1)+log(x-2) and phi(x)=log(x-1) (x-2)

In what interval are the following functions identical? (a) f(x)=x and phi (x)=10^(log x) . (b) f(x)=sqrtx sqrt(x-1) and phi (x)=sqrt(x(x-1)) .

Which of the following functions are identical? f(x)=1nx^(2) and g(x)=2ln xf(x)=log_(x)e and g(x)=(1)/(log x)f(x)=sin(cos^(-1)x) and g(x)=cos(sin^(-1)x) none of these

Let f(x) = ln(x-1)(x-3) and g(x) = ln(x-1) + ln(x-3) then,

f(x) = log(x^(2)+2)-log3 in [-1,1]

If the function f(x)=log(x-2)-log(x-3) and g(x)=log((x-2)/(x-3)) are identical, then

Sketch the graph of the following functions: f(x)=ln e(x^(2))

Statement-1 : For real values of x and y the relation y^(2) = 2x - x^(1) - 1 represents y as a function of x. Statement-2 : If f(x) = log (x-2)(x-3) and g(x) = log(x-2) + log (x-3) then f=g Statement-3 : If f(x+2) = 2x-5 then f(x) = 2x-9.