Final answer to the problem
$x=8$
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1
Express the numbers in the equation as logarithms of base $2$
$\log_{2}\left(x\right)+\log_{2}\left(x-6\right)=\log_{2}\left(2^{4}\right)$
Impara online a risolvere i problemi di passo dopo passo.
$\log_{2}\left(x\right)+\log_{2}\left(x-6\right)=\log_{2}\left(2^{4}\right)$
Impara online a risolvere i problemi di passo dopo passo. log2(x)+log2(x+-6)=4. Express the numbers in the equation as logarithms of base 2. Apply the formula: \log_{a}\left(x\right)+\log_{a}\left(y\right)=\log_{a}\left(xy\right), where a=2 and y=x-6. Apply the formula: \log_{b}\left(b^a\right)=a, where a=4 and b=2. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-6 and a+b=x-6.
Final answer to the problem
$x=8$
