document.write( "Question 605075: I need help solving the problem 2^(x^2)=7^x, or 2 to the x-squared power equals 7 to the x power. Thanks in advance for your help. \n" ); document.write( "
Algebra.Com's Answer #381928 by lwsshak3(11628)\"\" \"About 
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I need help solving the problem 2^(x^2)=7^x, or 2 to the x-squared power equals 7 to the x power.
\n" ); document.write( "**
\n" ); document.write( "2^(x^2)=7^x
\n" ); document.write( "take log of both sides
\n" ); document.write( "x^2log2=xlog7
\n" ); document.write( "x^2log2-xlog7=0
\n" ); document.write( "x(xlog2-log7)=0
\n" ); document.write( "x=0
\n" ); document.write( "or
\n" ); document.write( "xlog2-log7=0
\n" ); document.write( "xlog2=log7
\n" ); document.write( "x=log7/log2
\n" ); document.write( "x≈2.8074 \n" ); document.write( "
\n" );