document.write( "Question 951087: Using log rules
\n" ); document.write( "Loga = 0.3
\n" ); document.write( "Logb = -0.5\r
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\n" ); document.write( "\n" ); document.write( "Solve
\n" ); document.write( "log(1000a^2)\r
\n" ); document.write( "\n" ); document.write( "log(4throot √(b/a))\r
\n" ); document.write( "\n" ); document.write( "I need to evaluate while showing the use of log rules\r
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\n" ); document.write( "What I have is: log(1000)+log(a^2)\r
\n" ); document.write( "\n" ); document.write( "wouldn't log(1000) be the same as log[Base 10] 10 so would that count as the evaluation for that part?\r
\n" ); document.write( "\n" ); document.write( "then log(0.3^2) = log(0.09)
\n" ); document.write( "therefore, the answer log[base 10]10 + log(0.09)\r
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\n" ); document.write( "\n" ); document.write( "and log(4th root √(b/a)) would be log(b/a)^(1/4) and therefore log(-0.5)^(1/4) - log(0.3)^(1/4)\r
\n" ); document.write( "\n" ); document.write( "I feeel very unsure about these answers please help\r
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Algebra.Com's Answer #580763 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Using log rules
\n" ); document.write( " Loga = 0.3
\n" ); document.write( " Logb = -0.5 \r
\n" ); document.write( "\n" ); document.write( " Solve
\n" ); document.write( " log(1000a^2)
\n" ); document.write( "= log(1000) + log(a^2)
\n" ); document.write( "= log(1000) + 2*log(a)
\n" ); document.write( "Base 10 is the default, and 1000 = 10^3
\n" ); document.write( "----
\n" ); document.write( "= 3 + 2*0.3
\n" ); document.write( "= 3.6
\n" ); document.write( "===============================
\n" ); document.write( " log(4throot √(b/a))
\n" ); document.write( "\"log%28root%284%2Cb%2Fa%29%29\"
\n" ); document.write( "= (1/4)*log(b/a)
\n" ); document.write( "= (1/4)
\n" ); document.write( "= (1/4) = (1/4)*(-0.8)
\n" ); document.write( "= -0.2
\n" ); document.write( "====================================\r
\n" ); document.write( "\n" ); document.write( " I need to evaluate while showing the use of log rules
\n" ); document.write( " =======================================
\n" ); document.write( " What I have is: log(1000)+log(a^2)
\n" ); document.write( " wouldn't log(1000) be the same as log[Base 10] 10 so would that count as the evaluation for that part?
\n" ); document.write( " then log(0.3^2) = log(0.09)
\n" ); document.write( " therefore, the answer log[base 10]10 + log(0.09) \r
\n" ); document.write( "\n" ); document.write( " and log(4th root √(b/a)) would be log(b/a)^(1/4) and therefore log(-0.5)^(1/4) - log(0.3)^(1/4)
\n" ); document.write( " I feeel very unsure about these answers please help
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