claire3158
Jul 27, 2009, 05:15 PM
I have 4 logarithmic problems that I need help with...
log10 (10^1/2)
log10 (1/10^x)
log 3 x^2=2log3 4- 4log3 5
2 log4 9- log2 3
s_cianci
Jul 27, 2009, 05:29 PM
The first one is essentially an identity and quite obvious. Hint for #2 ; rewrite it as log((10^-1)^x). For #3, start by simplifying the 2log3 4- 4log3 5 part by applying the 3rd and 2nd laws of logarithms, in that order. Then, since logarithms are one-to-one, make the arguments equal and go from there. Do #4 in a similar manner ; law #3, followed by law #2.