35,563 views
32 votes
32 votes
Can someone please please help me solve these

Can someone please please help me solve these-example-1
User Ivan Kush
by
2.7k points

1 Answer

18 votes
18 votes

Answer:

  • (a) 5.3
  • (b) 2.4
  • (c) 0.9

Explanation:

You want various log expressions evaluated using the given values of the logarithms.

Rules of logarithms

The applicable rules of logarithms are ...

log(ab) = log(a) +log(b)

log(a/b) = log(a) -log(b)

log(a^b) = b·log(a)

(a) log(xy)

log(xy) = log(x) +log(y) = 3.5 +1.8 = 5.3

(b) log(x/z)

log(x/z) = log(x) -log(z) = 3.5 -1.1 = 2.4

(c) log(√y)

log(√y) = log(y^(1/2)) = 1/2·log(y) = 1/2·1.8 = 0.9

User Diego Betto
by
2.6k points