Question

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.Match each logarithmic equation to its corresponding x-value.

Answer 1

Answer:

$\begin{gathered} a)\text{ log}_{10}x\text{ =3 }\rightarrow\text{ 1000} \\ b)\text{ log}_2x\text{ = 5}\rightarrow\text{ 32} \\ c)\text{ log}_4x\text{ = 2 }\rightarrow\text{ 16} \\ d)\text{ log}_5x\text{ = 4}\rightarrow\text{ 625} \end{gathered}$

Explanation:

Here, we want to select the appropriate logarithmic relationship

We have the general rule as:

$\begin{gathered} Log\placeholder{⬚}_aB\text{ = c} \\ B\text{ = a}^c \end{gathered}$

This is the rule we are going to use. Since there are 4 tiles, we shall be selecting the 4 logarithmic expressions and use their number equivalent on the right side

a)

$\begin{gathered} log\placeholder{⬚}_{10}\text{ x = 3} \\ x\text{ = 10}^3 \\ x\text{ = 1000} \end{gathered}$

b)

$\begin{gathered} log\placeholder{⬚}_2x\text{ = 5} \\ x\text{ = 2}^5 \\ x\text{ = 32} \end{gathered}$

c)

$\begin{gathered} log\placeholder{⬚}_4x\text{ = 2} \\ x\text{ = 4}^2 \\ x\text{ = 16} \end{gathered}$

d)

$\begin{gathered} log\placeholder{⬚}_5x\text{ = 4} \\ x\text{ = 5}^4 \\ x\text{ = 625} \end{gathered}$