document.write( "Question 75004This question is from textbook college algebra
\n" ); document.write( ": (2/3)^x = 9/4 \n" ); document.write( "

Algebra.Com's Answer #53952 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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(2/3)^x = 9/4
\n" ); document.write( ":
\n" ); document.write( "Just look at this and you can see that the reciprocal of 2/3 squared = 9/4;
\n" ); document.write( "(3/2)^2 = 9/4, therefore x = -2
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\n" ); document.write( "You can do it using logs and the log equiv of exponents:
\n" ); document.write( "x*log(2/3) = log(9/4)
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\n" ); document.write( "Use a calc to find the logs of (2/3) and (9/4)
\n" ); document.write( "-.176091x = .3528125
\n" ); document.write( ":
\n" ); document.write( "x = .3528125/-.176091
\n" ); document.write( ":
\n" ); document.write( "x = -2.00
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