document.write( "Question 687487: Solve 3^x-1=7\r
\n" ); document.write( "\n" ); document.write( "Write 6log4x+log4y as a single logarithm\r
\n" ); document.write( "\n" ); document.write( "Solve.
\n" ); document.write( " 3^2x-1 x 81^2/4
\n" ); document.write( " __________________ = 9^5x
\n" ); document.write( " 27^1-x
\n" ); document.write( "

Algebra.Com's Answer #425171 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve 3^x-1=7
\n" ); document.write( "3^(x-1) = 7
\n" ); document.write( "(x-1)*log(3) = log(7)
\n" ); document.write( "-----
\n" ); document.write( "x*log(3) = log(3)+log(7)
\n" ); document.write( "x = log(21)/log(3)
\n" ); document.write( "x = 2.77
\n" ); document.write( "-------------------------
\n" ); document.write( "Write 6log4x+log4y as a single logarithm
\n" ); document.write( "6*log4(x) + log4(y)
\n" ); document.write( "---
\n" ); document.write( "= log4(x^6)+log4(y)
\n" ); document.write( "---
\n" ); document.write( "= log4[x^6*y]
\n" ); document.write( "======================
\n" ); document.write( "Solve.
\n" ); document.write( "3^2x-1 x 81^2/4
\n" ); document.write( "__________________ = 9^5x
\n" ); document.write( "27^1-x\r
\n" ); document.write( "\n" ); document.write( "--------------
\n" ); document.write( "[3^(2x-1)*(3^4)^(2/4)]/(3^3)^(1-x) = (3^2)^5x
\n" ); document.write( "-----------------
\n" ); document.write( "[(3)^(2x-1)*(3^2)]/3^(3-3x) = 3^10x
\n" ); document.write( "-----------------
\n" ); document.write( "[3^(2x+1)/3^(3-3x)] = 3^10x
\n" ); document.write( "------------------
\n" ); document.write( "[3^(5x-2)] = 3^10x
\n" ); document.write( "-----
\n" ); document.write( "5x-2 = 10x
\n" ); document.write( "5x = -2
\n" ); document.write( "x = -2/5
\n" ); document.write( "===========
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=============
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