document.write( "Question 586328: solve equation for x. 3e^(x+1) -2=0 \n" ); document.write( "

Algebra.Com's Answer #373712 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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$\"3e%5E%28x%2B1%29+-2=0\"$
\n" ); document.write( " $\"3e%5E%28x%2B1%29+=2\"$ divide by 3
\n" ); document.write( " $\"e%5E%28x%2B1%29+=2%2F3\"$ take the log of both sides with the base e
\n" ); document.write( " $\"ln%28e%5E%28x%2B1%29%29+=ln%282%2F3%29\"$ Use the property $\"ln%28a%5Eb%29=b%2Alna\"$ , then $\"ln%28e%5E%28x%2B1%29%29=%28x%2B1%29%2Alne=%28x%2B1%29%2A1=x%2B1\"$
\n" ); document.write( " $\"x%2B1+=ln%282%2F3%29\"$
\n" ); document.write( " $\"x=ln%282%2F3%29-1\"$ \n" ); document.write( "

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