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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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$x^2+5=7x-1$
Learn how to solve equations problems step by step online. Find the roots of log(x^2+5)=log(7*x+-1). 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. Subtract the values -1 and -5. Move everything to the left hand side of the equation.