Question

express log base2 64- log base2 4 as a single logarithm simplify if possible

Answer 1

Do you know your log rules?

Answer 2

not really

Answer 3

Such as \(\large log_{a}x-log_{a}y=log_{a} \frac{x}{y}\)

Answer 4

so would you just divide the two logs i have?

Answer 5

\[64 = 2^{6}\]
Therefore,
\[\log _{2}64 = 6\]
Similarly,
\[\log _{2}4 = 2\]
Therefore, result is 4.

Answer 6

thanks