### Exponentials & Logarithms

Package of problems

## Some graphical problems

Here is a graph of $y=\log_{5} x$

Use this graph of $y=\log_{5} x$ to help you to draw graphs of

1. $\log_{25}x$
2. $\log_{\sqrt{5}}x$
3. $\log_{\frac{1}{5}}x$
4. $\log_{10} x$
5. $\log_{x} 5$

Try to make your graphs as accurate as you can, but use the graph of $y=\log_{5}x$ to help you, rather than a calculator.

You could try to sketch the graphs first, thinking about which points the graphs go through and which graphs will give larger or smaller values for the same value of $x$. You may find it helpful to look back at the warm-up.

You can draw your graphs on the printable larger version of the $y=\log_{5}x$ graph.