Home
Class 12
MATHS
Solve log(2)(2sqrt(17-2x))=1 - log(1//2)...

Solve `log_(2)(2sqrt(17-2x))=1 - log_(1//2)(x-1)`.

Text Solution

Verified by Experts

The correct Answer is:
x = 4
`log_(2)(2sqrt17-2x)=1+log_(2)(x-1)`
` or log_(2)((2sqrt(17-2x))/(x-1))=1`
` or ((2sqrt(17-2x))/(x-1))=2`
`or 2sqrt(17-2x)=2(x-1)`
` or x^(2)2x+1 = 17 - 2x`
` x^(2) = 16`
` rArr x = 4 ("as "x ne -4)`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Exercise 1.5|13 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Exercise 1.6|6 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Exercise 1.3|16 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE ENGLISH|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

Solve log_(2)(25^(x+3)-1) = 2 + log_(2)(5^(x+3) + 1) .

Solve log_(2)(25^(x+3)-1) = 2 + log_(2)(5^(x+3) + 1) .

Solve log_(2)(4xx3^(x)-6)-log_(2)(9^(x)-6)=1 .

Solve log_x(x^2-1)<=0

Solve log_(2).(x-4)/(2x+5) lt 1 .

Solve log_(x+3)(x^(2)-x) lt 1 .

Solve 1/4 x ^(log_(2)sqrtx)=(2*x^(log_(2)x))^(1/4).

Solve log_(2)|x-1| lt 1 .

Solve log_(2)(x-1) gt 4 .

The number of real roots of the equation log_(1//3)(1+sqrt(x))+log_(1//3)(1+x)=2 , is