SOLUTION: Please help me solve this equation: log^7 100-log^7(y-5)=log^7 10

Question 592631: Please help me solve this equation: log^7 100-log^7(y-5)=log^7 10
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Please help me solve this equation:
log^7 100-log^7(y-5)=log^7 10
I will assume you mean base 7 instead of exponent 7:
log7(100)-log7(y-5)=log7(10)
log7(100)-log7(y-5)-log7(10)=0
log7(100)-(log7(y-5)+log7(10))=0
place under single log
log7[(100)/(y-5)(10)]=0
convert to exponential form: base(7) raised to log of number(0)=number(100)/(y-5)(10)
7^0=(100)/(y-5)(10)=1
(y-5)(10)=100
10y-50=100
10y=150
y=15

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