document.write( "Question 1184865: if log 2 = a; log 3 = b express log 150 in terms of a and b \n" ); document.write( "

Algebra.Com's Answer #815514 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "if log 2 = a; log 3 = b express log 150 in terms of a and b
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document.write( "If log(2) = a  and  log(3) = b are given,  then   log(5) =  = log(10) - log(2) = 1 - a\r\n" );
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document.write( "THEREFORE,  log(150) = log(25*6) = log(5^2) + log(2) + log(3) = 2*log(5) + log(2) + log(3) = 2*(1-a) + a + b = 2 - 2a + a + b = 2 - a + b.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On logarithms and their properties, see these introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - WHAT IS the logarithm \r
\n" ); document.write( "\n" ); document.write( "    - Properties of the logarithm \r
\n" ); document.write( "\n" ); document.write( "    - Change of Base Formula for logarithms \r
\n" ); document.write( "\n" ); document.write( "    - Evaluate logarithms without using a calculator (*)\r
\n" ); document.write( "\n" ); document.write( "    - Simplifying expressions with logarithms \r
\n" ); document.write( "\n" ); document.write( "    - Solving logarithmic equations \r
\n" ); document.write( "\n" ); document.write( "in this site; especially the lesson marked (*) in the list.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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