Home
Class 11
MATHS
The sum of all the solutions to the equa...

The sum of all the solutions to the equation `2log_10x-log_10(2x-75)=2` a. 30 b. 350 c. 75 d. 200

Text Solution

Verified by Experts

Given equation is ,
`2log_10x-log_10(2x-75) = 2`
Here, solution should satisfy two conditions.
(i) `x gt 0` and
(ii) `2x-75 gt 0 => x gt 75/2`
Now, we will solve the given equation,
`2log_10x-log_10(2x-75) = 2`
`=>log_10x^2-log_10(2x-75) = 2`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of all the solutions to the equations 2log_(10)x-log_(10)(2x-75)=2

The sum of all the solutions to the equations 2log_(10)x-log_(10)(2x-75)=2

The value of x satisfying the equation 2log_(10)x - log_(10) (2x-75) = 2 is

The value of x satisfying the equation 2log_(10)x - log_(10) (2x-75) = 2 is

The sum of all the solutions of the equation (log_(27)x^(3))^(2)=log_(27)x^(6), is

The sum of the real solutions of the equation log_(2)|x^(2)+2x-3|-log_(2)|x+3|=3

Sum of all solutions of equation log_(2)(log_(3)(x^(2)-1)) =0 is

The number of real solution of the equation log_(10)(7x-9)^(2)+log_(10)(3x-4)^(2)=2 is

The sum of solution of the equation log_(10)(3x^(2) +12x +19) - log_(10)(3x +4) = 1 is