Question

Logarithm

Answer 1

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)