Final Answer
$x=3$
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Step-by-step Solution
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1
Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$
$\log \left(x^2\right)-\log \left(x+6\right)=0$
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$\log \left(x^2\right)-\log \left(x+6\right)=0$
Learn how to solve problems step by step online. Find the roots of 2log(x)-log(x+6)=0. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). Take the variable outside of the logarithm. Any expression (except 0 and \infty) to the power of 0 is equal to 1.
Final Answer
$x=3$