Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

I see.

Answer 5

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

Answer 6

FINALLY thank you

Answer 7

welcome

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

Answer 8

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.

Answer 9

i posted as written, thank you very much