document.write( "Question 206034: solve: In√x-3=1 \n" ); document.write( "

Algebra.Com's Answer #155606 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for x:
\n" ); document.write( " $\"ln%28sqrt%28x%29%29-3+=+1\"$ Add 3 to both sides of the equation.
\n" ); document.write( " $\"ln%28sqrt%28x%29%29+=+4\"$ Write the square root in its exponential form.
\n" ); document.write( " $\"ln%28%28x%29%5E%281%2F2%29%29+=+4\"$ Now apply the power rule for logarithms: $\"Log%5Bb%5D%28M%29%5Ep+=+p%2ALog%5Bb%5D%28M%29\"$
\n" ); document.write( " $\"%281%2F2%29ln%28x%29+=+4\"$ Multiply both sides by 2.
\n" ); document.write( " $\"ln%28x%29+=+8\"$ Write this in its exponential form: $\"Log%5Bb%5D%28x%29+=+y\"$ means $\"b%5Ey+=+x\"$
\n" ); document.write( " $\"e%5E8+=+x\"$ so...
\n" ); document.write( " $\"highlight%28x+=+2981%29\"$ Approximately. \n" ); document.write( "

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