document.write( "Question 1012454: Good evening, I have some difficulties with this logarithmic equation:
\n" ); document.write( "4log4((x+1)^(1/2)) - log2(5-7x)=0
\n" ); document.write( "I tried to solve changing the base in such a way:
\n" ); document.write( "4log4((x+1)^(1/2)) = (log4(5-7x))/log4(2)
\n" ); document.write( "but I do wrong somewhere solving the arguments.
\n" ); document.write( "Can somebody help me explaining the right method?
\n" ); document.write( "Many thanks
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #628418 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!
Good evening, I have some difficulties with this logarithmic equation:
\n" ); document.write( "4log4((x+1)^(1/2)) - log2(5-7x)=0
\n" ); document.write( "I tried to solve changing the base in such a way:
\n" ); document.write( "4log4((x+1)^(1/2)) = (log4(5-7x))/log4(2)
\n" ); document.write( "but I do wrong somewhere solving the arguments.
\n" ); document.write( "Can somebody help me explaining the right method?
\n" ); document.write( "Many thanks
\n" ); document.write( "

\r\n" );
document.write( " ---- Adding  to both sides\r\n" );
document.write( " --- Applying  \r\n" );
document.write( " \r\n" );
document.write( " ------- Applying change of base to , to base 2\r\n" );
document.write( " ------- Changing  to 2\r\n" );
document.write( " ------ Cancelling 2 in numerator and denominator\r\n" );
document.write( "

x + 1 = 5 - 7x 
\n" );
document.write( "x + 7x = 5 – 1
\n" );
document.write( "8x = 4
\n" );
document.write( "x = , or  \n" );
document.write( "

\n" );