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

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Answer 1 · 2016-12-05T04:53:07

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

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:

![Desmos.com](useruploads.socratic.org)

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