document.write( "Question 847431: What is the solution set of 5^x-1=e^x+1?
\n" ); document.write( "What is the solution set of ln(x)=12/ln(x)-4? \n" ); document.write( "

Algebra.Com's Answer #510416 by stanbon(75887) $\"\"$ $\"About$

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What is the solution set of 5^(x-1) = e^(x+1)?
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\n" ); document.write( "Take the natural log of both sides to get:
\n" ); document.write( "(x-1)ln(5) = x+1
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\n" ); document.write( "x(ln(5)-1) = 1+ln(5)
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\n" ); document.write( "x = (ln(5)+1)/(ln(5)-1)
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\n" ); document.write( "x = 4.2817...
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\n" ); document.write( "\n" ); document.write( "What is the solution set of ln(x)=12/ln(x)-4?
\n" ); document.write( "ln(x)[ln(x)-4] = 12
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\n" ); document.write( "(ln(x))^2 - 4ln(x) - 12 = 0
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\n" ); document.write( "Factor:
\n" ); document.write( "(ln(x)-6)(ln(x)+2) = 0
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\n" ); document.write( "ln(x) = 6 or ln(x) = -2
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\n" ); document.write( "x = e^6 or x = e^(-2)
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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