How do you graph y=log_7(x-4)+4y=log7(x4)+4?

1 Answer
Dec 5, 2016

To convert bases from base "c" to base "b", use the identity: log_c(f(x)) = log_b(f(x))/log_b(c)logc(f(x))=logb(f(x))logb(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) + 4y=log10(x4)log10(7)+4

y = ln(x - 4)/ln(7) + 4y=ln(x4)ln(7)+4

Here is the graph:

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