Question

use properties of logarithm find the exact value of the expression, log 2^5* log 5^16

Answer 1

\[\log _{2}5 \times \log _{5}16\]?

Answer 2

yes

Answer 3

can you help me?
pls im stuck...

Answer 4

are you sure its not
\[\log_{}2^{5} * \log_{}5^{16} = 5\log 2*16\log 5 \]

Answer 5

its wht the cali guy said

Answer 6

use change of base rule then
\[\log_{2} 5 = \frac{\ln 5}{\ln 2} \]
\[\log_{5} 16 = \frac{\ln 16}{\ln 5} \]

Answer 7

ln5 will cancel
= ln(16)/ln(2)

Answer 8

tknks

Answer 9

you can go even farther too
ln(16)/ln(2) = ln(2^4)/ln(2) = 4ln(2)/ln(2) = 4

Answer 10

4