Home
Class 10
MATHS
The solution set for |1-x|^(log(10)(x^(2...

The solution set for `|1-x|^(log_(10)(x^(2)-5x+5))=1`, is ______.

A

{0, 1, 4}

B

{1, 4}

C

{0, 4}

D

{0, 2, 4}

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Use `a^(@) = 1` and `1^(m) = 1`.
(ii) Consider RHS, i.e., 1 as `|1 - x|^(@)` and equate the exponents.
(iii) convert the logarithm in the exponential form by using `log_(b) a = N implies a = b^(N)`.
(iv) Solve the quadratic equations for x.
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution set of |x+2|^(log_(10)(x^(2)+6x+9))=1 is ______.

The solution set of log_(2)|x^(2)-4x+5|<1 is

The solution set of the equation x^(log_(x)(1-x)^(2))=9 is

log_((1)/(2))(x^(2)-5x+6)>-1

The solution set of |x-1|+|x+5|=6 is:

The solution set of ((x-1)(x-2))/((x+5))gt1 is

The solution set of "log"_(2)|4-5x|gt 2 , is

The solution set of the inequality log_(5/8)(2x^(2)-x-3/8) ge1 is-

Find the domain of log_(10)(1-log_(10)(x^(2)-5x+16))