Answer:
a. 1.23
b. 0.23
c. 7.96
Step-by-step explanation:
Use laws of logarithms:
log(a*b) = log(a) + log(b)
log(a/b) = log(a) - log(b)
log(a^b) = b*log(a)
log_k(k) = 1
a. log_a(15) = log_a(3*5) = log_a(3) + log_a(5) = 0.50 + 0.73 = 1.23
b. log_a(5/3) = log_a(5) - log_a(3) = 0.73 - 0.50 = 0.23
c. log_a(8*a^7) = log_a(8) + log_a(a^7) = log_a(2^3) + log_a(a^7)
= 3log_a(2) + 7log_a(a) = 3(0.32) + 7(1) = 7.96
