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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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$2x^2+3=x^2+5x-3$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log(2*x^2+3)=log(x^2+5*x+-3). 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 -3 and -3. Combining like terms 2x^2 and -x^2.