document.write( "Question 1043030: Having a really hard time with this questions. It asks to solve 100(1.02)^x/4=200. Could you please show the steps so I can understand it? \n" ); document.write( "

Algebra.Com's Answer #658113 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
solve 100(1.02)^x/4=200
\n" ); document.write( "Assume you mean
\n" ); document.write( "solve $\"100%281.02%29%5E%28x%2F4%29+=+200\"$
\n" ); document.write( "divide both sides by 100
\n" ); document.write( " $\"%281.02%29%5E%28x%2F4%29+=+2\"$
\n" ); document.write( "using nat logs
\n" ); document.write( " $\"ln%281.02%29%5E%28x%2F4%29%29\"$ = $\"ln%282%29\"$
\n" ); document.write( "the log equiv of exponents
\n" ); document.write( " $\"x%2F4\"$ ln(1.02) = ln(2)
\n" ); document.write( "divide both sides by ln(1.02)
\n" ); document.write( " $\"x%2F4\"$ = $\"ln%282%29%2Fln%281.02%29\"$
\n" ); document.write( "using your calc
\n" ); document.write( " $\"x%2F4\"$ = 35.0028
\n" ); document.write( "multiply both sides by 4
\n" ); document.write( "x = 140
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "replace x with 140 in the original problem, check with your calc \n" ); document.write( "

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