Question

logx^2 (81-24x)=1
ans is x =-27 and 3
can any one explanation this solution​

Answer 1

Step-by-step explanation:

log$x^{2}$(81-24x) = 1

81-24x = $x^{2}$

$x^{2}$ + 24x - 81 = 0

(x+27)(x-3) = 0

therefore x = -27 or x = 3

pls mark brainliest

Answer 2

Given:  $\log_{x^2}(81-24x)=1$

To Find : Solve for x

Solution:

$\log_{x^2}(81-24x)=1$

logₐa  = 1

Hence

x² = 81 - 24x

=> x² + 24x - 81 = 0

Using middle term split

=> x² + 27x - 3x - 81 = 0

=> x(x + 27) - 3(x + 27) = 0

=> (x + 27)(x - 3)  = 0

=> x = - 27  or  x = 3

Hence Value of the x  are  - 27  or    3

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