document.write( "Question 1053388: what is f^-1(x) of the equation f(x)=log base 3 (x+2) -5 \n" ); document.write( "

Algebra.Com's Answer #668624 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll say $\"+y+=+f%28x%29+\"$
\n" ); document.write( "Swap $\"+x+\"$ and $\"+y+\"$ to get $\"+%28f%5E%28-1%29%29%28x%29+\"$
\n" ); document.write( " $\"+y+=+log%28+3%2C+x%2B2+%29+-+5+\"$
\n" ); document.write( "Convert $\"+5+\"$ into a log to the base $\"3\"$
\n" ); document.write( " $\"+x+=+log%28+3%2C+y%2B2+%29+-+log%28+3%2C+243+%29+\"$
\n" ); document.write( " $\"+x+=+log%28+3%2C+%28+y%2B2+%29%2F243+%29+\"$
\n" ); document.write( " $\"+3%5Ex+=+%28+y%2B2+%29%2F243+\"$
\n" ); document.write( " $\"+y+%2B+2+=+243%2A3%5Ex+\"$
\n" ); document.write( " $\"+y+=+3%5E5%2A3%5Ex+-+2+\"$
\n" ); document.write( " $\"+y+=+3%5E%28+x%2B5+%29+-+2+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "check my work & maybe get 2nd opinion\r
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