For what value of It is the following true? Give your answer as an integer or a fully r log(x+11)=logx+log12 Your answer is: x=square

To solve the equation \( \log(x+11) = \log x + \log 12 \), we can use the properties of logarithms.<br /><br />First, recall that \( \log a + \log b = \log (a \cdot b) \). Therefore, we can rewrite the right-hand side of the equation as:<br />\[ \log(x+11) = \log(x \cdot 12) \]<br /><br />Since the logarithms are equal, their arguments must also be equal:<br />\[ x + 11 = 12x \]<br /><br />Now, solve for \( x \):<br />\[ x + 11 = 12x \]<br />\[ 11 = 11x \]<br />\[ x = 1 \]<br /><br />So, the value of \( x \) is:<br />\[ x = 1 \]