document.write( "Question 988102: solve for x. 2^(2sinx)+2^(sinx)-6=0 \n" ); document.write( "

Algebra.Com's Answer #608916 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution,
\n" ); document.write( " $\"u=2%5E%28sin%28x%29%29\"$
\n" ); document.write( " $\"u%5E2=2%5E%282sin%28x%29%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"u%5E2%2Bu-6=0\"$
\n" ); document.write( " $\"%28u%2B3%29%28u-2%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"u%2B3=0\"$
\n" ); document.write( " $\"u=-3\"$
\n" ); document.write( " $\"2%5E%28sin%28x%29%29=-3\"$
\n" ); document.write( "Not a possible solution in x.
\n" ); document.write( ",
\n" ); document.write( ",
\n" ); document.write( " $\"u-2=0\"$
\n" ); document.write( " $\"u=2\"$
\n" ); document.write( " $\"2%5E%28sin%28x%29%29=2\"$
\n" ); document.write( " $\"sin%28x%29=1\"$
\n" ); document.write( " $\"highlight%28x=pi%2F2+%2B+%282pi%29%2Ak%29\"$ where $\"k\"$ is an integer.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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