document.write( "Question 1095187: State the value of x that satisfies 4^(2x-3)=2 \n" ); document.write( "
Algebra.Com's Answer #709761 by MathTherapy(10559)\"\" \"About 
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\n" ); document.write( "State the value of x that satisfies 4^(2x-3)=2
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\"4%5E%282x+-+3%29+=+2\"
\n" ); document.write( "\"%282%5E2%29%5E%282x+-+3%29+=+2\" ------ Converting 4 to base 2
\n" ); document.write( "\"2%5E%282%282x+-+3%29%29+=+2%5E1\"
\n" ); document.write( "2(2x - 3) = 1 ------ Bases are equivalent and so are the exponents
\n" ); document.write( "4x - 6 = 1
\n" ); document.write( "4x = 7
\n" ); document.write( "\"highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+7%2F4%29%29\" \n" ); document.write( "
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