document.write( "Question 698920: How do I solve the following problem for X? Please exact or round to hundredths.\r
\n" ); document.write( "\n" ); document.write( "7^2x+1=3^x+2 \n" ); document.write( "

Algebra.Com's Answer #431170 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assume the problem is:
\n" ); document.write( " $\"7%5E%28%282x%2B1%29%29+=+3%5E%28%28x%2B2%29%29\"$
\n" ); document.write( "using logs
\n" ); document.write( " $\"log%287%5E%28%282x%2B1%29%29%29+=+log%283%5E%28%28x%2B2%29%29%29\"$
\n" ); document.write( "The log equiv of exponents
\n" ); document.write( "(2x+1)log(7) = (x+2)log(3)
\n" ); document.write( "Find the logs of 7 and 3
\n" ); document.write( ".8451(2x+1) = .4771(x+2)
\n" ); document.write( "1.6902x + .8451 = .4771x + .9542
\n" ); document.write( "1.6901x - .4771x = .9542 - .8451
\n" ); document.write( "1.213x = .1091
\n" ); document.write( "x = $\".1091%2F1.213\"$
\n" ); document.write( "x ~ .09
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can check this on your calc, replace x with .09 in the 1st equation, confirm they are equal \n" ); document.write( "

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