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Log and Antilog
what is the value of x if log(x+7)(36x+9)
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- 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. - 9 years agoHelpfull: Yes(0) No(24)
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