document.write( "Question 998758: How do I solve logarithms with square roots?
\n" ); document.write( "For example the value of logarithms with base √2 and number 8√2 equals to 7. But how to you get the final answer without a calculator?
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Algebra.Com's Answer #616505 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"log%28sqrt%282%29%2C8sqrt%282%29%29=+7\"......change the base to base \"10\"\r
\n" ); document.write( "\n" ); document.write( "\"log%288sqrt%282%29%29%2Flog%28sqrt%282%29%29=+7\"\r
\n" ); document.write( "\n" ); document.write( "\"log%288sqrt%282%29%29=+7log%28sqrt%282%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%288sqrt%282%29%29=+log%28%28sqrt%282%29%29%5E7%29\"...if log same, than\r
\n" ); document.write( "\n" ); document.write( "\"8sqrt%282%29=+%28sqrt%282%29%29%5E7\"\r
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\n" ); document.write( "\n" ); document.write( "\"8sqrt%282%29=+2%2A2%2A2%2Asqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"8sqrt%282%29=+8sqrt%282%29\"...since left and right side of equation sign are same, the statement \"log%28sqrt%282%29%2C8sqrt%282%29%29=+7\" is true\r
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