SOLUTION: Find exact solution to the equation Math teacher said answer was x=-4, but he didn't have time to explain how he got to that answer. Equation: 10-log5^(x+9)=9

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Question 562699: Find exact solution to the equation
Math teacher said answer was x=-4, but he didn't have time to explain how he got to that answer.
Equation: 10-log5^(x+9)=9

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Equation: 10-log5^(x+9)=9
-log5^(x+9)=-1
log5^(x+9)=1
convert to exponential form: base(5) raised to log of number(1)=number(x+9)
5^1=x+9
5=x+9
x=-4

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