Question

How do i expand this? please help

Answer 1

\[logb \sqrt{57/74}\]

Answer 2

Use the properties of logarithm,
\[\log_b\left(\sqrt{\frac{c}{d}}\right)=\frac{1}{2}\log_b(c/d)=\frac{1}{2}(\log_bc-\log_bd)\]

Answer 3

would it be 1/2logb57-1/2logb74?

Answer 4

Assuming b is the base of the logarithm, yes it should be like that.

Answer 5

\[\frac{ 1 }{ 2 }logb57-\frac{ 1 }{ 2 }logb74\]

Answer 6

sorry i had to write it out just to be sure lol

Answer 7

Yes, but I ask you now if b is the base of the logarithm or a multiplicative constant? I think it is the base, but it depends on the original problem.

Answer 8

Oh sorry the b is at the bottom of the log it's like this