Question

Hi, i am doing a graded practice test for algerbra 2 and I need some help with a few of the questions, thanks so much.

Answer 1

Given the equation:

$\log _2(7x)+\log _22=1$

As we know: log a + log b = log (ab)

So,

$\begin{gathered} \log _2(7x\cdot2)=1 \\ \log _2(14x)=\log _22 \\ \\ 14x=2 \\ x=\frac{2}{14} \\ \\ x=\frac{1}{7} \end{gathered}$

So, the answer will be x = 1/7