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Solve the logarithmic equation $\log_{5}\left(m-8\right)=\log_{5}\left(2m-15\right)$

Step-by-step Solution

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Final Answer

The equation has no solutions.

Step-by-step Solution

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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 $b$

$m-8=2m-15$

Learn how to solve logarithmic equations problems step by step online.

$m-8=2m-15$

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Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log5(m+-8)=log5(2*m+-15). 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. Group the terms of the equation by moving the terms that have the variable m to the left side, and those that do not have it to the right side. Subtract the values 8 and -15. Combining like terms m and -2m.

Final Answer

The equation has no solutions.

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for mFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Main Topic: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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