Question

Write the expression as a single logarithm, and simplify if possible.

logc 2x + 5(logcx - logcy)

Answer 1

first simplify what's in the parentheses

use the law of logs

log a - log b = log (a/b)

Answer 2

yea i did that part

Answer 3

so what will i do with the parentheses

Answer 4

ok - you should have got logc (x/y)

now 5 ( logc x/y) = logc ?

can you do this bit?

Answer 5

use the law

a log x = log x^a

Answer 6

i got logc(7x/5y)

Answer 7

no its logc (x/y)^5

Answer 8

now you have

logc 2x + logc (x/y)^5


what does this simplify to

you need to apply the law

log a + log b = log ab