Solve the logarithmic equation $\log_{14}\left(n\right)=\log_{14}\left(3n+10\right)$

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Final answer to the problem

The equation has no solutions.

Step-by-step Solution

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  • Solve for n
  • Find the derivative using the definition
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For two logarithms of the same base to be equal, their arguments must be equal. In other words, if $\log(a)=\log(b)$ then $a$ must equal $b$

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$n=3n+10$

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Learn how to solve problems step by step online. Solve the logarithmic equation log14(n)=log14(3*n+10). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. Move everything to the left hand side of the equation. Combining like terms n and -3n. We need to isolate the dependent variable n, we can do that by simultaneously subtracting -10 from both sides of the equation.

Final answer to the problem

The equation has no solutions.

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