document.write( "Question 634485: t=-62.5ln(1-n/80)= solve for n \n" ); document.write( "

Algebra.Com's Answer #399703 by jsmallt9(3758) $\"\"$ $\"About$

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$\"t=-62.5%2Aln%281-n%2F80%29\"$ To solve for \"n\", we need to \"peel away\" the rest of the right side of the equation. First isolate the log by dividing by 62.5:
\n" ); document.write( " $\"t%2F62.5=ln%281-n%2F80%29\"$
\n" ); document.write( "To eliminate a log, rewrite the equation in exponential form. In general $\"log%28a%2C+%28p%29%29+=+q\"$ is equivalent to $\"p+=+a%5Eq\"$ . Using this pattern (and the fact that the base of ln is \"e\") we get:
\n" ); document.write( " $\"e%5E%28%28t%2F62.5%29%29=1-n%2F80\"$
\n" ); document.write( "Subtracting 1 from each side:
\n" ); document.write( " $\"e%5E%28%28t%2F62.5%29%29-1=+-n%2F80\"$
\n" ); document.write( "Multiplying each side by -80:
\n" ); document.write( " $\"-80e%5E%28%28t%2F62.5%29%29-1=+n\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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