Rewrite in a single logarithm.
log gh+2log hk -4log gk
help me please? I don't know where to start
log gh+2log hk -4log gk
help me please? I don't know where to start
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The formula you need are:
a log b = log b^a
log a + log b = log ab
log a - log b = log a/b
So:
log(gh) + 2log(hk) - 4log(gk)
= log(gh) + log((hk)^2) - log((gk)^4)
= log( gh * (hk)^2 / (gk)^4 )
... where * means multiply and ^ means power. You should now simply the expression in the brackets (i.e. g and k appear on both top and bottom lines so you can do some cancelling).
a log b = log b^a
log a + log b = log ab
log a - log b = log a/b
So:
log(gh) + 2log(hk) - 4log(gk)
= log(gh) + log((hk)^2) - log((gk)^4)
= log( gh * (hk)^2 / (gk)^4 )
... where * means multiply and ^ means power. You should now simply the expression in the brackets (i.e. g and k appear on both top and bottom lines so you can do some cancelling).