Question

Fill in the missing values to make the equation true.

Answer 1

a) The equation can be solved as follows:

`\begin{gathered} \log _78+\log _79=\log _78*9=\log _78+\log _79=\log _772 \\ \log _78+\log _79=\log _772 \end{gathered}`

So the value in the box is 72.

b)Let the unknown value be x:

The equation can be solved as follows:

`\begin{gathered} \log _8x-\log _83=\log _8(5)/(3) \\ \log _8x=\log _8(5)/(3)+\log _83 \\ \log _8x=\log _8(5)/(3)*3 \\ \log _8x=\log _85 \end{gathered}`

So the value in the box is 5.

c)Let the unknown value be x:

The equation can be solved as follows:

`\begin{gathered} \log _681=4\log _6x \\ \log _681=\log _6x^4 \\ 81=x^4 \\ x^4=3^4 \\ x=3 \end{gathered}`

So the value in the box is 3.