Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places.
-log (x+10)-log (x+4)=log x
A) no solution
B) 6
C) 2,-5
D) 2

Name: Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places. -log (x+10)-log (x+4)=log x A) no solution B) 6 C) 2,-5 D) 2
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Question

Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places.
-log (x+10)-log (x+4)=log x
A) no solution
B) 6
C)  2,-5 
D) 2

Quizplus · Accepted Answer

By using the properties of logarithms, the equation simplifies to log((x+10)/(x+4)) = log x. This implies (x+10)/(x+4) = x. Solving this equation gives x = 2.

Use a Change of Base Formula to Evaluate the Given