document.write( "Question 1184275: Please help me solve this equation
\n" ); document.write( "if log(x^3+3)base 10 - log(x+7)base 10 + log2base10= log x base10, find the value of x \n" ); document.write( "

Algebra.Com's Answer #814821 by MathTherapy(10552) $\"\"$ $\"About$

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Please help me solve this equation
\n" ); document.write( "if log(x^3+3)base 10 - log(x+7)base 10 + log2base10= log x base10, find the value of x
\n" ); document.write( "

It's the NORM to apply base 10 for LOGS without a base, so we have: \r\n" );
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document.write( "          Since all logs above have the same base, we can say that: \r\n" );
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document.write( "      With logs having same base on both sides of equation, we get: \r\n" );
document.write( "                                                                     -------- Cross-multiplying\r\n" );
document.write( "Using the RATIONAL ROOT THEOREM, we find 2 of the 3 roots. x = 1, and x = - 2. When long division of polynomials or\r\n" );
document.write( "SYNTHETIC DIVISION is used, we find the other root to be .\r\n" );
document.write( "Therefore, \r\n" );
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document.write( "Thanks to IKLEYN for pointing this out. I failed to notice that one of the solutions is negative and therefore creates \r\n" );
document.write( "an EXTRANEOUS solution, Therefore, correct solutions are: .\r\n" );
document.write( "Thanks, @IKLEYN.

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