Answer:
1) (1/3)log_7(10); 3) log_8(u) - log_8(v); 5) 3ln(x)
Step-by-step explanation:
1)
log_7(^3sqrt(10))
log_7(10^1/3)
log_a(x^b) = b * log_a(x); when x >= 0.
(1/3)log_7(10)
About 0.39443...
3)
log_8(u/v)
log_c(a/b) = log_c(a) - log_c(b)
log_8(u) - log_8(v)
5)
ln(x^3)
log_a(x^b) = b * log_a(x); when x >= 0.
3ln(x)
