document.write( "Question 986937: given that log2=0.3010 and log3 =0.4771, find log1.125 all in base 10 \n" ); document.write( "

Algebra.Com's Answer #607709 by ikleyn(53750) $\"\"$ $\"About$

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\n" ); document.write( "Notice that 1.125 = $\"9%2F8\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Hence, $\"log%2810%2C+%281.125%29%29\"$ = $\"log%2810%2C+%289%2F8%29%29\"$ = $\"log%2810%2C+9%29\"$ - $\"log%2810%2C8%29\"$ = $\"2log%2810%2C3%29\"$ - $\"3log%2810%2C2%29\"$ = 2*0.4771 - 3*0.3010 = 0.0512.\r
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