document.write( "Question 374193: solve x to 4 decimal places 5^x=4^(x+1) \n" ); document.write( "

Algebra.Com's Answer #266305 by rfadrogane(214) $\"\"$ $\"About$

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solve x to 4 decimal places 5^x=4^(x+1)
\n" ); document.write( " sol'n:
\n" ); document.write( " 5^x = 4^(x+1), take ln on both side
\n" ); document.write( " x ln 5 = (x+1)ln 4
\n" ); document.write( " x ln 5 = x ln 4 + ln 4
\n" ); document.write( " x (ln 5 - ln 4)= ln 4
\n" ); document.write( " thus;
\n" ); document.write( " x = ln 4/(ln 5 - ln 4)
\n" ); document.write( " x = 6.2126 ----answer \n" ); document.write( "

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