The question asks to find the coordinates of the points $(x, y)$ for two logarithmic functions, given $y$-values of $-2, -1, 0, 1, 2$. Let's solve it step by step.

Part (a): $y = \log_2x$

The equation $y = \log_2x$ can be rewritten as: $x = 2^y$

Now, calculate $x$ for each $y$-value:

1. $y = -2$: $x = 2^{-2} = \frac{1}{4}$
2. $y = -1\: x = 2^{-1} = \frac{1}{2}$
3. $y = 0$: $x = 2^0 = 1$
4. $y = 1$: $x = 2^1 = 2$
5. $y = 2$: $x = 2^2 = 4$

Coordinates for $y = \log_2x$: $\left(\frac{1}{4}, -2\right), \left(\frac{1}{2}, -1\right), (1, 0), (2, 1), (4, 2)$

Part (b): $y = \log_{10}x$

The equation $y = \log_{10}x$ can be rewritten as: $x = 10^y$

Now, calculate $x$ for each $y$-value:

1. $y = -2$: