document.write( "Question 1144036: Please help me with this.
\n" ); document.write( "log7 10=X, log7 12=Y, log7 11=Z, Find log7 33/25=?
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Algebra.Com's Answer #765006 by ikleyn(52850)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"33%2F25\" = \"%283%2A11%29%2F25\" = \"%283%2A4%2A11%29%2F%284%2A25%29\"    <<<---=== I multiplied the numerator and denominator \r\n" );
document.write( "                                  by the factor 4, without changing the fraction.\r\n" );
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document.write( "                                  So, I can continue the chain of equalities:\r\n" );
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document.write( "\"33%2F25\" = \"%283%2A11%29%2F25\" = \"%283%2A4%2A11%29%2F%284%2A25%29\" = \"%2812%2A11%29%2F10%5E2\".\r\n" );
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document.write( "Therefore,\r\n" );
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document.write( "\"log%287%2C%2833%2F25%29%29\" = \"log%287%2C%28%2812%2A11%29%2F10%5E2%29%29\" = apply the logarithm properties = \"log%287%2C%2812%29%29\" + \"log%287%2C%2811%29%29\" - \"2%2Alog%287%2C%2810%29%29\" = Y + Z - 2X.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answered,  explained,  solved and completed.\r
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\n" ); document.write( "\n" ); document.write( "On logarithms and their properties,  see the 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( "    - Proving equalities with logarithms \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Especially,  look into the lesson  (*)  and find there very similar solved problems.\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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