document.write( "Question 328569: is this true or false: 3log(b)√3:(a)=log[b](a)\r
\n" ); document.write( "\n" ); document.write( "assume that x,y,z are positive numbers. use the properties of logarithms to write each expression as the logarithm of one quantity: \"log%28b%2C%28x%29%29%2Blog%28b%2C%28x%2B2%29%29-log%28b%2C%288%29%29\"\r
\n" ); document.write( "\n" ); document.write( "solve each equation. if answer not exact, give in four decimal places:
\n" ); document.write( "\"3%5E%28x%2B3%29=3%5Ex=84\" hint:\"3%5E%28x%2B3%29=3%5E%28x%29%283%29%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "write in terms of the logarithm x,y,and z: \"log%28b%2C%283xy%29%29\"\r
\n" ); document.write( "\n" ); document.write( "write in terms of the logarithm x,y,and z:
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Algebra.Com's Answer #235414 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
Two of your problems contain errors in typing so that we cannot help you
\n" ); document.write( "with them unless you repost and type them correctly. I will do the ones
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\n" ); document.write( "is this true or false:
\n" ); document.write( "\"3log%28b%2C%28sqrt%283%29%29%29\"\"%22%3A%22\"\"%28a%29=log%28b%2C%28a%29%29\"
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document.write( "That one doesn't make any sense.  Why did you put a colon between the\r\n" );
document.write( "expression on the left and the equation on the right?  \r\n" );
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\n" ); document.write( "assume that x,y,z are positive numbers. use the properties of logarithms to write each expression as the logarithm of one quantity: \r
\n" ); document.write( "\n" ); document.write( "\"log%28b%2C%28x%29%29%2Blog%28b%2C%28x%2B2%29%29-log%28b%2C%288%29%29\"
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document.write( "Use the logarithm identity \"log%28P%2C%28Q%29%29%2Blog%28P%2C%28R%29%29=log%28P%2C%28QR%29%29\" \r\n" );
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document.write( "on the two highlighted terms below:\r\n" );
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document.write( "\"highlight%28log%28b%2C%28x%29%29%2Blog%28b%2C%28x%2B2%29%29%29-log%28b%2C%288%29%29\"\r\n" );
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document.write( "\"highlight%28log%28b%2C%28x%28x%2B2%29%29%29%29-log%28b%2C%288%29%29\"\r\n" );
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document.write( "\"log%28b%2C%28x%28x%2B2%29%29%29-log%28b%2C%288%29%29\"\r\n" );
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document.write( "Use the logarithm identity \"log%28P%2C%28Q%29%29-log%28P%2C%28R%29%29=log%28P%2C%28Q%2FR%29%29\" on that:\r\n" );
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document.write( "\"log%28b%2C%28x%28x%2B2%29%2F8%29%29\"\r\n" );
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document.write( "-----------------------------\r\n" );
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\n" ); document.write( "solve each equation. if answer not exact, give in four decimal places:
\n" ); document.write( "\"3%5E%28x%2B3%29=3%5Ex=84\" hint:\"3%5E%28x%2B3%29=3%5E%28x%29%283%29%5E3\"
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document.write( "That first equation has two equal signs.  One of them should have been either\r\n" );
document.write( "a + or a - but I can't tell which one should have been which one.\r\n" );
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document.write( "

\n" ); document.write( "write in terms of the logarithm x,y,and z: \r
\n" ); document.write( "\n" ); document.write( "\"log%28b%2C%283xy%29%29\"
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\r\n" );
document.write( "Use the logarithm identity \"log%28P%2C%28QRS%29%29=log%28P%2C%28Q%29%29%2Blog%28P%2C%28R%29%29%2Blog%28P%2C%28S%29%29\" \r\n" );
document.write( "\r\n" );
document.write( "\"log%28b%2C%283xy%29%29=log%28b%2C%283%29%29%2Blog%28b%2C%28x%29%29%2Blog%28b%2C%28y%29%29\"\r\n" );
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document.write( "-----------------------------\r\n" );
document.write( "\r\n" );
document.write( "write in terms of the logarithm x,y,and z: \r\n" );
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document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use the logarithm identity \"log%28P%2C%28QR%29%29=log%28P%2C%28Q%29%29%2Blog%28P%2C%28R%29%29\" \r\n" );
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document.write( "Use the logarithm identity \"log%28P%2C%28Q%5ER%29%29=R%2Alog%28P%2C%28Q%29%29\" on both terms:\r\n" );
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document.write( "\"1%2F2\"\"log%28b%2C%28x%29%29%2B3log%28b%2Cy%29\"\r\n" );
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document.write( "Edwin

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