log44 7 x2x 532 0Solutionlog4 4 7x2x5 32 0 log4 4 7x2x5

log_4(4 - 7 x^2/x - 5)-3/2 = 0

log4{( 4 -7x^2)/(x-5)} - 3/2 =0

log4{( 4 -7x^2)/(x-5)} = 3/2

Using the log property : log_a(x) =b ---> x = a^b

( 4 -7x^2)/(x-5) = 4^3/2

(4 -7x^2)/( x-5) = 8

(4-7x^2) = 8( x-5)

4 -7x^2 = 8x -40

-7x^2 -8x +44 =0

On solving the quadratic equation:

x = ( 8 + /- sqrt(64 +44*7) )/-14

x = - 3.14 and x = 2

$log_4(4 - 7 x^2/x - 5)-3/2 = 0Solutionlog4{( 4 -7x^2)/(x-5)} - 3/2 =0 log4{( 4 -7x^2)/(x-5)} = 3/2 Using the log property : loga(x) =b ---> x = a^b ( 4 -7x^$

log44 7 x2x 532 0Solutionlog4 4 7x2x5 32 0 log4 4 7x2x5

Solution

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