Question

 Given log
b
3 = 0.8397 and log
b
7 = 1.4873, evaluate log
b
3b

Answer 1

can you make that more readable?

Answer 2

\[\log_b 3b \]

Answer 3

i dont know how to write it but it was the way yuki write

Answer 4

can be split into two parts,

\[\log_b 3 + \log_b b\]

Answer 5

I don't understand why you need all of those logs.
\[\log_{b} (3) = 0.8397\]
\[\log_{b} (7) = 1.4873\]
\[\log_{b} (3b) = 3\]

Answer 6

the left one is given and the right one is equal to 1

Answer 7

so\[\log_b 3b = 1.8397\]

Answer 8

you just need to remember the fact that

log (a * b) = log(a) + log(b)

and \[\log_c (c) = 1\]

Answer 9

does that help at all ?

Answer 10

hellomoto?

Answer 11

thank you very much yuki