Question

Use the change of base formula to evaluate log (base 7) 76.

Answer 1

\[\log_{7} 76\]

Answer 2

Hmm I don't think 76 is any nice power...
So we can use a calculator for this one, yes?

Answer 3

I get 64.22 when i do it with a calculator is that correct|?

Answer 4

Here is the rule we want to use:\[\Large\bf\sf \color{orangered}{\log_a(b)\quad=\quad \frac{\log_{10}b}{\log_{10}a}}\]We'll change them to log base 10 so we can throw it into the calc.

Answer 5

\[\Large\bf\sf \frac{\log76}{\log7}\quad\approx\quad ?\]

Answer 6

Hmm are you sure you put it into the calculator correctly? You should get a very very different answer.

Answer 7

wait hold on let me try something else

Answer 8

\[\Large\bf\sf \log(76)\div \log(7)\]Make sure you use brackets to keep things organized.

Answer 9

i get 2.22 is that correct?

Answer 10

yayy good job \c:/

Answer 11

Should round up to 2.23 I guess :P

Answer 12

Yes finally today i get something correct thank you.