Home
Class 9
MATHS
Show that a^(log(a)x) = x....

Show that `a^(log_(a)x) = x`.

Answer

Step by step text solution for Show that a^(log_(a)x) = x. by MATHS experts to help you in doubts & scoring excellent marks in Class 9 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Examples (Short-answer type questions)|1 Videos

  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Examples (Long-answer type question)|25 Videos

  • LINEAR EQUATIONS IN REAL PROBLEMS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-5|31 Videos

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|52 Videos

Similar Questions

Explore conceptually related problems

Show that a^(log_(a^2)^(x))xxb^(log_(b^2)^(y))xxc^(log_(c^2)^(z))=sqrt(xyz)

If a^(x) = b^(y) = c^(z) = d^(w)," show that " log_(a) (bcd) = x (1/y+1/z+1/w) .

answer any three questions: 3.if x>0, then show that log(1+x) > x/(1+x).

If x gt 0 , show that, log (1+x) lt x

Show that y= log (1+x) -(2x)/(2+x) , x gt -1 is an increasing function of xthroughout its domain.

If x gt 0 , show that, x gt log (1+x) gt x-x^(2)/2 .

If y = a^(1/(1-log_(a)x)) and z = a^(1/(1-log_(a)y)) , then show that x = a^(1/(1-log_(a)z))

If a^(3-x).b^(5x) = a^(5+x).b^(3x) , then show that x log (b/a) = log a .

Prove that : (vi) log_(a)x + log_(a^2)x^(2) + log_(a^3)x^(3) + ………….+ log_(a^n)x^(n) = log_(a)x^(n)

If a^(2-x).b^(5x) = a^(x+3).b^(3x) , then show that x log (b/a) = 1/2 loga .

Home
Profile