Question

help me with expanding logarithms

Answer 1

ln(3x/7y)= ln(3)+ln(x)-ln(7)-ln(y) get it?

Answer 2

\[\log_{2}\frac{ x^{3}y^5 }{ 5 } \]

Answer 3

ok

Answer 4

anytime something is multiplied you turn it into addition, and any time something is divided you make it subtraction

Answer 5

got that?

Answer 6

yea, that helps

Answer 7

so, if you did that, you would get. \[\log_2{x^3} +\log_2{y^5} - \log_2{5}\]

Answer 8

then, one final trick. any exponents in logs turn into coefficients.

Answer 9

oh ok, you did it that way. I was going to ask about that

Answer 10

ah, k. yeah logs used to confuse me before calculus made me understand them xD

Answer 11

cool. I feel like they shouldn't be that hard. just kinda intimidating

Answer 12

if I can remember those two rules, It will really help me a lot. thanks @anikay

Answer 13

no prob :D