document.write( "Question 1049679: Given log 16=1.2, log 5=0.7 and log 8=0.9 Find log1/49 \n" ); document.write( "

Algebra.Com's Answer #665259 by josgarithmetic(39630) $\"\"$ $\"About$

You can put this solution on YOUR website!
log1/49 ?
\n" ); document.write( " $\"log%28%281%2F49%29%29\"$
\n" ); document.write( " $\"log%28%281%2F7%5E2%29%29\"$
\n" ); document.write( " $\"log%28%287%5E%28-2%29%29%29\"$
\n" ); document.write( " $\"-2%2Alog%28%287%29%29\"$ -----------You want to know log of 7. It would be somewhere between log of 5 and log of 8. You might like to try linear interpolation.\r
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\r\n" );
document.write( "    input      |     log of input\r\n" );
document.write( "               |\r\n" );
document.write( "               |\r\n" );
document.write( "----------------------------------------\r\n" );
document.write( "    5          |          0.7\r\n" );
document.write( "    7          |         log((7))=y\r\n" );
document.write( "    8          |          0.9\r\n" );
document.write( "----------------------------------------\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y=mx+b
\n" ); document.write( " $\"y=%28%280.9-0.7%29%2F%288-5%29%29x%2Bb\"$
\n" ); document.write( " $\"y=%280.2%2F3%29x%2Bb\"$
\n" ); document.write( " $\"y=%282%2F30%29x%2Bb\"$
\n" ); document.write( " $\"y=x%2F15%2Bb\"$
\n" ); document.write( "-
\n" ); document.write( "Pick either of the two points.
\n" ); document.write( " $\"b=y-x%2F15\"$
\n" ); document.write( " $\"b=0.9-8%2F15=9%2F10-8%2F15\"$
\n" ); document.write( " $\"b=27%2F30-16%2F30\"$
\n" ); document.write( " $\"b=11%2F30\"$
\n" ); document.write( " $\"highlight%28log%28%28x%29%29=x%2F15%2B11%2F30%29\"$ ----------important but not your final answer of $\"log%28%281%2F49%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "FINISHING
\n" ); document.write( "Input was 7.\r
\n" ); document.write( "\n" ); document.write( " $\"log%28%281%2F49%29%29\"$
\n" ); document.write( " $\"log%28%287%5E%28-2%29%29%29\"$
\n" ); document.write( " $\"-2%2Alog%28%287%29%29\"$
\n" ); document.write( " $\"-2%287%2F15%2B11%2F30%29\"$
\n" ); document.write( " $\"-2%2818%2F30%29\"$
\n" ); document.write( " $\"-2%283%2A6%29%2F%286%2A5%29\"$
\n" ); document.write( " $\"-2%283%2F5%29\"$
\n" ); document.write( " $\"highlight%28-6%2F5%29\"$ or $\"highlight%28-1%261%2F5%29\"$ \n" ); document.write( "

\n" );