Latest CTS Aptitude Question SOLUTION: what is the value of x if log(x+7)(36x+9)

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(#M40153507) CTS Numerical Ability question find value of x Keep an EYE

what is the value of x if log(x+7)(36x+9)

Asked In CTS pavan (8 years ago)

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Read Solution (1) :

minku  (8 years ago)

Simplifying
log(x + 7)(36x + 9) = 2

Reorder the terms:
glo(7 + x)(36x + 9) = 2

Reorder the terms:
glo(7 + x)(9 + 36x) = 2

Multiply (7 + x) * (9 + 36x)
glo(7(9 + 36x) + x(9 + 36x)) = 2
glo((9 * 7 + 36x * 7) + x(9 + 36x)) = 2
glo((63 + 252x) + x(9 + 36x)) = 2
glo(63 + 252x + (9 * x + 36x * x)) = 2
glo(63 + 252x + (9x + 36x2)) = 2

Combine like terms: 252x + 9x = 261x
glo(63 + 261x + 36x2) = 2
(63 * glo + 261x * glo + 36x2 * glo) = 2
(63glo + 261glox + 36glox2) = 2

Solving
63glo + 261glox + 36glox2 = 2

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-2 + 63glo + 261glox + 36glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 63glo + 261glox + 36glox2 = 0

The solution to this equation could not be determined.

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