Answer:
a) 4
b) ln (x^5y^3/z^6)
Explanation:
we shall use the logarithm properties:
log (b) + log (c) = log (bc), log (b) - log (c) = log (b/c) and n log (a) = log (a^n)
a) we have log3 (486) - log3(6).
use rule 2 and we get log3(486/6)=log3(81)=log3(3^4)=4
b) we have 5 lnx +3 lny - 6lnz. use the third rule and we first get:
ln x^5 + ln y^3 - ln z^6.
next use rules 1 and 2 and finally,
we get ln (x^5y^3/z^6)