please show steps: Solve:
log base 5 3-1/2 log base 5 x=log base 5 1/2

Question

please show steps: Solve:
log base 5 3-1/2 log base 5 x=log base 5 1/2

anonymous · Answer

0.0 ! how ? did u get the sqare root of 3

hero · Answer

assuming that the negative one-half is an exponent. Is it?

anonymous · Answer

i don't know... this si how it is written  $$\log_{5} 3-1/2\log_{5} x =\log_{5} 1/2$$

hero · Answer

I see.

anonymous · Answer

log base 5 3-1/2 log base 5 x=log base 5 1/2

rearrange to have X as subject.

1/2log base 5 of x =log base 5 of 3 - log base 5 of 1/2

=> log base 5 of x^1/2=log base 5 of 3/[1/2]
=> log base 5 of x^1/2=log base 5 of 6
take anti logs on both sides ( since they are all logs of the same base)
=> x^1/2 = 6
=> x= 6^2 = 36

anonymous · Answer

FINALLY thank you

anonymous · Answer

welcome

The trick perhaps is   logx -logy  =  log(x/y)  as long as they are all of the same base

hero · Answer

izzy, had you posted it clearly the first time, you would have gotten a solution much quicker. The whole time, people were trying to decipher what you had written initially.

anonymous · Answer

i posted as written, thank you very much