document.write( "Question 752962: Can you help me write this problem as a single logarithm?
\n" ); document.write( "4log(base b)2-(1/3)log(base 9) b^15+1
\n" ); document.write( "So far I have compressed it into:
\n" ); document.write( "log (base b) 16-log (base 9) b^5 +1
\n" ); document.write( "If you can help me thank you so much! \n" ); document.write( "
Algebra.Com's Answer #458167 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "logb16 - log9b5 + 1\r\n" );
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document.write( "logb16 - 5·log9b + 1\r\n" );
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document.write( "on the middle term we use \"log%28P%2C%28Q%29%29=1%2Flog%28Q%2C%28P%29%29\"\r\n" );
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document.write( "logb16 - \"5%2Flog%28b%2C9%29\" + 1\r\n" );
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document.write( "For the 1 on the right we use logbb = 1\r\n" );
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document.write( "logb16 - \"5%2Flog%28b%2C9%29\" + logbb\r\n" );
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document.write( "Swap the 2nd and 3rd terms:\r\n" );
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document.write( "logb16 + logbb - \"5%2Flog%28b%2C9%29\" \r\n" );
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document.write( "logb16b - \"5%2Flog%28b%2C9%29\"\r\n" );
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document.write( "To keep it from getting too messy. let A = logb9\r\n" );
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document.write( "logb16b - \"5%2FA\"\r\n" );
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document.write( "Get the LCD and combine terms:\r\n" );
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document.write( "\"%28A%2Alog%28b%2C16b%29+-+5%29%2FA\"\r\n" );
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document.write( "\"%28log%28b%2C%2816b%29%5EA%29+-+5%29%2FA\"\r\n" );
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document.write( "\"expr%281%2FA%29%28log%28b%2C%2816b%29%5EA%29+-+5%29\"\r\n" );
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document.write( "Write 5 as logbb5\r\n" );
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document.write( "\"expr%281%2FA%29%28log%28b%2C%2816b%29%5EA%29+-+log%28b%2Cb%5E5%29%29\"\r\n" );
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document.write( "\"expr%281%2FA%29log%28b%2C%2816b%29%5EA%2Fb%5E5%29\"\r\n" );
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document.write( "\"log%28b%2C%28%2816b%29%5EA%2Fb%5E5%29%5E%281%2FA%29%29\"\r\n" );
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document.write( "\"log%28b%2C%2816b%2Fb%5E%28%225%2FA%22%29%29%29\"\r\n" );
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document.write( "Finally replace A by logb9\r\n" );
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document.write( "\"log%28b%2C%2816b%2Fb%5E%28%225%2Flogb9%22%29%29%29\"\r\n" );
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document.write( "That's a mess because you had mixed bases \r\n" );
document.write( "in the beginning.\r\n" );
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document.write( "Edwin
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