Question

How do you graph `y=log_7(x-4)+4`?

Answer 1

To convert bases from base "c" to base "b", use the identity: `log_c(f(x)) = log_b(f(x))/log_b(c)`

Explanation:

Most calculators have a base 10 logarithm key and a natural logarithm key so here is the given equation converted to both bases:

`y = log_10(x - 4)/log_10(7) + 4`

`y = ln(x - 4)/ln(7) + 4`

Here is the graph: