document.write( "Question 744150: solve: (0.3)^(x+1)=0.7^x \n" ); document.write( "

Algebra.Com's Answer #453199 by nerdybill(7384) $\"\"$ $\"About$

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(0.3)^(x+1)=0.7^x
\n" ); document.write( "take the log of both sides:
\n" ); document.write( "log[(0.3)^(x+1)] = log[0.7^x]
\n" ); document.write( "(x+1)*log[0.3] = x*log[0.7]
\n" ); document.write( "x*log[0.3]+log[0.3] = x*log[0.7]
\n" ); document.write( "log[0.3] = x*log[0.7]- x*log[0.3]
\n" ); document.write( "log[0.3] = x(log[0.7]- log[0.3])
\n" ); document.write( "log[0.3]/(log[0.7]- log[0.3]) = x
\n" ); document.write( "-1.421 = x\r
\n" ); document.write( "
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