document.write( "Question 61872: Solve the equation 2^3x=4^x-1 by getting a common base. \n" ); document.write( "

Algebra.Com's Answer #42607 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve the equation 2^3x=4^(x-1) by getting a common base.
\n" ); document.write( " $\"2%5E3x=%282%5E2%29%5E%28x-1%29\"$
\n" ); document.write( " $\"2%5E%283x%29=2%5E%282%28x-1%29%29\"$
\n" ); document.write( "3x=2(x-1)
\n" ); document.write( "3x=2x-2
\n" ); document.write( "3x-2x=2x-2x-2
\n" ); document.write( " $\"highlight%28x=-2%29\"$
\n" ); document.write( "Check:
\n" ); document.write( " $\"2%5E%283%28-2%29%29=4%5E%28-2-1%29\"$
\n" ); document.write( " $\"2%5E%28-6%29=4%5E%28-3%29\"$
\n" ); document.write( " $\"1%2F%282%5E6%29=1%2F4%5E3\"$
\n" ); document.write( " $\"1%2F64=1%2F64\"$ We're right!!!!
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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