Question

if log10(x) + log10 (y) = 3 then xy = ?? please help with this solution, I will give you a shiny medal! and do show detailed instructions please :) :D Thank you

Answer 1

The important thing is that you have the same log base... So

log10(x) + log10(y) can be rewritten as log10(xy)

Answer 2

assuming the logs are base 10, i wont write the 10 for sake of clarity:
logx + logy = 3
log(xy) = 3
raise both sides to power 10 (as this is the opposite of "taking logs", we get:
xy = 10^3
so xy = 1000

Answer 3

So its just log(xy) =3 ? so does it connect to the rule with logs that addition is = or turned into multiplication? :D

Answer 4

as melbax said, it would be 1000 because 10^3 = 1000 right?

Answer 5

thank you both so much for helping me! I wish I could give you both medals!