Solve the logarithmic equation $\log_{7}\left(x-4\right)=\log_{7}\left(4x+5\right)$

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Final answer to the problem

The equation has no solutions.

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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 $b$

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

$x-4=4x+5$

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Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log7(x+-4)=log7(4*x+5). 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 x to the left side, and those that do not have it to the right side. Add the values 5 and 4. Combining like terms x and -4x.

Final answer to the problem

The equation has no solutions.

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Main Topic: Logarithmic Equations

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

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