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The graph shows the function $y=10_{x}$. We find $10_{0.3}$ by reading the $y$-value from the graph when $x=0.3$. Let's start from $x=0.3$ on the $x$-axis and go up vertically to the graph. When we reach the curve, read of the corresponding $y$-value on the $y$-axis.

We can see that $y≈2$ when $x=0.3.$ Then $10_{0.3}≈2.$

b

We should now decide which number should be the exponent of base $10$ to get $4.$ Let's start from $y=4$ on the $y$-axis and go horizontally out towards the graph. When you reach the graph, we find the corresponding $x$-value on the $x$-axis.

We conclude that $10_{0.6}≈4$, then $x≈0.6.$