log (x+14)=log x+log 14

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Accepted Answer

Step:1 ：The given equation is log (x+14)=log x+log 14.Step:2 ：We can use the properties of logarithms to simplify this equation. Specifically, we can use the property log a + log b = log (ab) to rewrite the right side of the equation as log (14x).Step:3 ：Setting the two sides of the equation equal to each other, we get x+14 = 14x.Step:4 ：Solving this equation for x, we find that x = frac{14}{13}.Step:5 ：So, the solution to the equation log (x+14)=log x+log 14 is x = frac{14}{13}.Step:6 ：Final Answer: (boxed{frac{14}{13}})

Answer

Step: 1 ：The given equation is log (x+14)=log x+log 14.Step: 2 ：We can use the properties of logarithms to simplify this equation. Specifically, we can use the property log a + log b = log (ab) to rewrite the right side of the equation as log (14x).Step: 3 ：Setting the two sides of the equation equal to each other, we get x+14 = 14x.Step: 4 ：Solving this equation for x, we find that x = frac{14}{13}.Step: 5 ：So, the solution to the equation log (x+14)=log x+log 14 is x = frac{14}{13}.Step: 6 ：Final Answer: (boxed{frac{14}{13}})

$\log (x + 14) = \log x + \log 14$

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log⁡(x+14)=log⁡x+log⁡14

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Popular Problems

$\log (x + 14) = \log x + \log 14$