Question

Algebra 2 Logarithms Problem!!! Pls explain how you did the work for all parts-- i will give brainliest!!!!!

Answer 1

Answer:

Given

• log₃ 20 = x and log₃ 2 = y

Properties used

• log ab = log a  + log b
• log a/b = log a - log b
• log aᵇ = b log a

a)

• log₃ 400 = log₃ (20)² = 2 log₃ 20 = 2x

b)

• log₃ 80 = log₃ (20*4) = log₃ 20 + log₃ 4 = log₃ 20 + 2log₃ 2 = x + 2y

c)

• log₃ 40 = log₃ (20*2) = log₃ 20 + log₃ 2 = x + y

d)

• log₃ 10 = log₃ (20/2) = log₃ 20 - log₃ 2 = x - y