document.write( "Question 324410: How do you simplify log base5 4 + log base5 250? \n" ); document.write( "
Algebra.Com's Answer #232177 by CharlesG2(834)\"\" \"About 
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How do you simplify log base5 4 + log base5 250?\r
\n" ); document.write( "\n" ); document.write( "log5 (4) + log5 (250)
\n" ); document.write( "these both have the same base which is 5
\n" ); document.write( "logarithmic rule: logb (m) + logb (n) = logb (mn)
\n" ); document.write( "log5 (4) + log5 (250) = log5 (4 * 250) = log5 (1000)
\n" ); document.write( "converting to base 10
\n" ); document.write( "logarithmic rule: logb (x) = logk (x) / logk (b) where b is old base, and k is the new base
\n" ); document.write( "log5 (1000) = log10 (1000) / log10 (5) = 3 / log10 (5)
\n" ); document.write( "log10 (5) = approximately 0.698970 rounded to 6 decimal places
\n" ); document.write( "log5 (1000) = approx. 4.292030 rounded to 6 decimal places
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