Question

simplify: log 5 (5)

Answer 1

\[\log _{5} (5)\]

Answer 2

\[\log_{5} 5^{1}=1\] The log base n of n raised to a power is just what ever the power is.

Answer 3

In general

\[\Large \log_{b} (b) = 1\]

where b is some positive number that is not equal to 1

Answer 4

what if i have \[2\log _{2} (7)\]

Answer 5

There's not much you can do other than use a calculator to approximate that

Answer 6

how?

Answer 7

\[\Large 2\log _{2} (7) = 2*\log(7)/\log(2)\]

Answer 8

so you would type in

2*log(7)/log(2)

Answer 9

i got 5.6 or 6

Answer 10

\[\Large 2\log _{2} (7) \approx 5.6147098441152\] and when you round it to one decimal place you get 5.6

so you're correct

Answer 11

but the correct answer here is 7.

Answer 12

something must be missing then

Answer 13

typo maybe?

Answer 14

\[2^{\log}_{2} ^ (7)\]

Answer 15

Change of base \[\log_{2} 49=\frac{ \ln 49 }{ \ln 2}\]