document.write( "Question 859252: How can I solve this exponential equation alegbracally? 225[(1+0.05)^x/0.05]=300000 \n" ); document.write( "

Algebra.Com's Answer #517675 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+225+=+%28+1+%2B+.05+%29%5E%28+x%2F.05+%29+%29+=+300000+\"$
\n" ); document.write( "Divide both sides by $\"+225+\"$
\n" ); document.write( " $\"++%28+1+%2B+.05+%29%5E%28+x%2F.05+%29+%29+=+1333.333+\"$
\n" ); document.write( "Take the log of both sides
\n" ); document.write( " $\"+%28+x%2F.05+%29%2Alog%28+1.05+%29+=+log%28+1333.333+%29+\"$
\n" ); document.write( " $\"+.0211893%2A+%28+x%2F.05+%29+=+3.12494+\"$
\n" ); document.write( " $\"+x%2F.05+=+147.4772+\"$
\n" ); document.write( " $\"+x+=+7.37386+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+x%2F.05+=+147.4772+\"$
\n" ); document.write( " $\"+1.05%5E147.4772+=+1333.3326+\"$
\n" ); document.write( " $\"+225%2A1333.3326+=+299999.835+\"$
\n" ); document.write( " $\"+300000+-+299999.835+=+.165+\"$
\n" ); document.write( "close enough\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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