Question

3. Convert to a common log: log3 4

Answer 1

Change of base of logarithms:
\[\log_{a} b \iff \frac{ \log_{c} b }{ \log_{c}a }\]

Answer 2

wait what would be A and B?

Answer 3

common log means log base ten

Answer 4

how do i do that?

Answer 5

NNNOOOO mistake hold on

Answer 6

\[\huge \log_a(x)=\frac{\log_b(x)}{\log_b(a)}\] but you have \(\log_3(4)\) put \[a=3,x=4,b=10\]

Answer 7

where do you get 10 from?
log3(4) = log10(4)/ log10(3)

Answer 8

that is correct, what you wrote
the ten comes from the meaning of "common log" which by definition is log base ten

Answer 9

thats it no more steps?

Answer 10

as opposed to the "natural log" which is log base \(e\)
no, no more steps if the question is "convert"

Answer 11

if the question was "compute" then you would use a calculator

Answer 12

oh okay sweet thanks for the help!

Answer 13

yw