Given the following, answer the log questions below.

Question

Given the information below, answer the following "log" problems.
logb2=.36 and logb5=.83

find logb25=

logb20=

logb (square root of)20=

What is b?

Answer 1

log_b2=.36 and log_b5=.83

i) log_b25=log_b5²=2log_b5=2*0.83=..
ii) log_b20=log_b(2₂*5)=2log_b2+log_b5=2*0.36+0.83=..
ii) log_b√20=(1/2)log_b20=(1/2) (2*0.36+0.83)=..
iv) What is b
log_b2=.36
b^0.36=2
2^0.36log₂b=2
log₂b=2/0.36=50/9
b=2^50/9