Question

evaluate log2 16 the 2 is small...

Answer 1

\[\log_{2} 16\]

Answer 2

your job is to find \(y\) if \(2^y=16\)

Answer 3

y=4?

Answer 4

\[\log_b(x)=y\iff b^y=x\] and so
\[\log_2(16)=y\iff 2^y=16\] in other words your job is to find what number you would raise 2 to in order to get 16
yes it is 4
because \(2^4=16\)

Answer 5

so \[\log_{5} 125\] is y=3...?

Answer 6

you got it~

Answer 7

so \(\log_5(125)=3\)
logs are exponents, if you can switch back and forth between logarithmic and exponential forms quickly this will not be too hard

Answer 8

gotcha!! now what about ln\[1/e^{5} \]

Answer 9

ln in front of the problem