document.write( "Question 236404: How do I do these?\r
\n" ); document.write( "\n" ); document.write( "Solve the equation 9^x-1=(1/3)^2x\r
\n" ); document.write( "\n" ); document.write( "Solve the equation 4^3x-1=1.5625x10^-2 \n" ); document.write( "

Algebra.Com's Answer #174022 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"9%5E%28x-1%29+=+%281%2F3%29%5E%282x%29\"$ Substitute $\"9+=+3%5E2\"$
\n" ); document.write( " $\"%283%5E2%29%5E%28x-1%29+=+%281%2F3%29%5E%282x%29\"$ Multiply the exponents on the left side.
\n" ); document.write( " $\"3%5E%282x-2%29+=+%281%2F3%29%5E%282x%29\"$ Invert the right side and change the sign of the exponent.
\n" ); document.write( " $\"3%5E%282x-2%29+=+3%5E%28-2x%29\"$ Now since the bases (3) are equal, the exponents must be equal, so...
\n" ); document.write( " $\"2x-2+=+-2x\"$ Add 2x to both sides.
\n" ); document.write( " $\"4x-2+=+0\"$ Add 2 to both sides.
\n" ); document.write( " $\"4x+=+2\"$ Divide both sides by 4.
\n" ); document.write( " $\"x+=+2%2F4\"$ Simplify.
\n" ); document.write( " $\"highlight%28x+=+1%2F2%29\"$ \n" ); document.write( "

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