document.write( "Question 997751: 6 log p = 2,5
\n" ); document.write( "Then a value of p
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Algebra.Com's Answer #615708 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
6log(p) = 2.5
\n" ); document.write( "hopefully your comma represents a decimal point.
\n" ); document.write( "otherwise, i have no idea what you are asking.
\n" ); document.write( "i believe you can solve this a couple of ways.
\n" ); document.write( "i'll do both just to see if the same answer comes out.
\n" ); document.write( "first way:
\n" ); document.write( "divide both sides by 6 to get log(p) = 2.5/6
\n" ); document.write( "this is true if and only if 10^(2.5/6) = p
\n" ); document.write( "solve for p to get p = 2.610157216
\n" ); document.write( "confirm by replace p in the original equation with your answer.
\n" ); document.write( "6log(2.610157216) = 2.5 becomes 2.5 = 2.5, confirming the solution is correct.
\n" ); document.write( "second way:
\n" ); document.write( "6log(p) = 2.5 becomes log(p^6) = 2.5
\n" ); document.write( "this is true if and only if 10^2.5 = p^6
\n" ); document.write( "solve for p^6 to get p^6 = 316.227766
\n" ); document.write( "take the sixth root of each side of the equation to get p = 2.610157216.
\n" ); document.write( "same answer so both methods are good.\r
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\n" ); document.write( "\n" ); document.write( "how do you take the 6th root of each side of the equation?
\n" ); document.write( "p^6 = 316.227766
\n" ); document.write( "(p^6)^(1/6) = 316.227766^(1/6)
\n" ); document.write( "(p^6)^(1/6) is the same as p^(6*1/6) which is the same as p^(6/6) which is the same as p^1 which is the same as p.
\n" ); document.write( "316.22776^(1/6) = 2.610157216
\n" ); document.write( "you are left with p = 2.610157216\r
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