document.write( "Question 1179636: Log(x+6)-log(x-3)=1 \n" ); document.write( "
Algebra.Com's Answer #809205 by ikleyn(52800)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You start from this equation\r\n" );
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document.write( "    log(x+6) - log(x-3) = 1\r\n" );
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document.write( "It implies, due to properties of logarithms\r\n" );
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document.write( "    \"log%28%28x%2B6%29%2F%28x-3%29%29\" = log(10)\r\n" );
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document.write( "Since logarithms are equal, the numbers under the logarithm functions are equal\r\n" );
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document.write( "    \"%28x%2B6%29%2F%28x-3%29\" = 10\r\n" );
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document.write( "Hence,\r\n" );
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document.write( "    x + 6 = 10*(x-3)\r\n" );
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document.write( "    x + 6 = 10x - 30\r\n" );
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document.write( "    6 + 30 = 10x - x\r\n" );
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document.write( "      36   = 9x\r\n" );
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document.write( "       x   = 36/9 = 4.     ANSWER\r\n" );
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document.write( "You may check, by substituting x= 4 into the original equation, that my answer is correct.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, answered and explained. And completed.\r
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\n" ); document.write( "\n" ); document.write( "On logarithms and their properties,  see these introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - WHAT IS the logarithm \r
\n" ); document.write( "\n" ); document.write( "    - Properties of the logarithm \r
\n" ); document.write( "\n" ); document.write( "    - Change of Base Formula for logarithms \r
\n" ); document.write( "\n" ); document.write( "    - Evaluate logarithms without using a calculator \r
\n" ); document.write( "\n" ); document.write( "    - Simplifying expressions with logarithms \r
\n" ); document.write( "\n" ); document.write( "    - Solving logarithmic equations \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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