document.write( "Question 197090This question is from textbook Algebra and Trigonometry Structure and Method book 2
\n" ); document.write( ": I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! \r
\n" ); document.write( "\n" ); document.write( "Laws of Logarithms
\n" ); document.write( "If f(x)=3^x and g(x)=log base 9 of x, find:
\n" ); document.write( "f^-1(g(9)) \n" ); document.write( "
Algebra.Com's Answer #147937 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If f(x)=3^x and
\n" ); document.write( "g(x)=log base 9 of x, find:
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\n" ); document.write( "You need f^(-1)(x)
\n" ); document.write( "Starting with f(x) = 3^x
\n" ); document.write( "Interchange x and y to get:
\n" ); document.write( "x = 3^y
\n" ); document.write( "Solve for y:
\n" ); document.write( "y = log(base3)x
\n" ); document.write( "So f^(-1)(x) = log(base3)x
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\n" ); document.write( "Now try your problem:\r
\n" ); document.write( "\n" ); document.write( "f^-1(g(9)) = f^(-1)[log(base9)9]
\n" ); document.write( "= f^(-1)[1]
\n" ); document.write( "= log(base3)1
\n" ); document.write( "= 0
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\n" ); document.write( "That's pretty complicated. Hope that helps.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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