document.write( "Question 592631: Please help me solve this equation: log^7 100-log^7(y-5)=log^7 10 \n" ); document.write( "

Algebra.Com's Answer #376008 by lwsshak3(11628) $\"\"$ $\"About$

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Please help me solve this equation:
\n" ); document.write( "log^7 100-log^7(y-5)=log^7 10
\n" ); document.write( "I will assume you mean base 7 instead of exponent 7:
\n" ); document.write( "log7(100)-log7(y-5)=log7(10)
\n" ); document.write( "log7(100)-log7(y-5)-log7(10)=0
\n" ); document.write( "log7(100)-(log7(y-5)+log7(10))=0
\n" ); document.write( "place under single log
\n" ); document.write( "log7[(100)/(y-5)(10)]=0
\n" ); document.write( "convert to exponential form: base(7) raised to log of number(0)=number(100)/(y-5)(10)
\n" ); document.write( "7^0=(100)/(y-5)(10)=1
\n" ); document.write( "(y-5)(10)=100
\n" ); document.write( "10y-50=100
\n" ); document.write( "10y=150
\n" ); document.write( "y=15
\n" ); document.write( " \n" ); document.write( "

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