document.write( "Question 194947: given the following three equations, solve for a, b, and c:
\n" ); document.write( "7^a * 7^b = 7^c\r
\n" ); document.write( "\n" ); document.write( "(2^a)^b = 64\r
\n" ); document.write( "\n" ); document.write( "(3^b)/(3^c) = 1/9\r
\n" ); document.write( "\n" ); document.write( "thankz:D \n" ); document.write( "
Algebra.Com's Answer #146333 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
given the following three equations, solve for a, b, and c:
\n" ); document.write( "7^a * 7^b = 7^c
\n" ); document.write( "(2^a)^b = 64
\n" ); document.write( "(3^b)/(3^c) = 1/9
\n" ); document.write( ":
\n" ); document.write( "Take each equation and simplify it:
\n" ); document.write( ":
\n" ); document.write( "\"7%5Ea+%2A+7%5Eb+=+7%5Ec\"
\n" ); document.write( "Add exponents when you multiply
\n" ); document.write( "\"7%5E%28a%2Bb%29+=+7%5Ec\"
\n" ); document.write( "therefore we can say:
\n" ); document.write( "a + b = c
\n" ); document.write( ":
\n" ); document.write( "\"%282%5Ea%29%5Eb+=+64\"
\n" ); document.write( "Multiply exponents when you raise it to another power
\n" ); document.write( "\"2%5E%28ab%29+=+64\"
\n" ); document.write( "64 is the 6th power of two
\n" ); document.write( "\"2%5E%28ab%29+=+2%5E6\"
\n" ); document.write( "therefore we can say:
\n" ); document.write( "ab = 6
\n" ); document.write( ":
\n" ); document.write( "\"%283%5Eb%29%2F%283%5Ec%29+=+1%2F9+\"
\n" ); document.write( "we subtract the dividing exponent, 9 is the 2nd power of three
\n" ); document.write( "\"3%5E%28b-c%29=+1%2F3%5E2+\"
\n" ); document.write( "which is
\n" ); document.write( "\"3%5E%28b-c%29+=+3%5E-2+\"
\n" ); document.write( "therefore we can say:
\n" ); document.write( "b - c = -2
\n" ); document.write( ":
\n" ); document.write( "Rearrange and solve using elimination method on the 1st and 3rd equations
\n" ); document.write( "a + b - c = 0
\n" ); document.write( "0 + b - c = -2
\n" ); document.write( "----------------subtraction eliminates b and c, find a
\n" ); document.write( "a = +2
\n" ); document.write( ":
\n" ); document.write( "Find b using: ab = 6
\n" ); document.write( "2b = 6
\n" ); document.write( "b = 6/2
\n" ); document.write( "b = 3
\n" ); document.write( ":
\n" ); document.write( "Find c using b - c = -2
\n" ); document.write( "3 - c = -2
\n" ); document.write( "-c = -2 - 3
\n" ); document.write( "-c = -5
\n" ); document.write( "therefore
\n" ); document.write( "c = +5
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\n" ); document.write( "Try these three solutions in each original equation.\r
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