Log2(x) + log2(2x) + log2(3x) + log2(36) = 6

x = 2/3

Step-by-step explanation:

log₂(x) + log₂(2x) + log₂(3x) + log₂(36) = 6

According to the following properties of logarithm, we know that:

logₐ(x.y) = logₐ(x) + logₐ(y)

logₐ(x) = n

logₐ(x) = logₐ(y) ⇔ x = y

Applying this properties to the situation:

log₂(x.2x.3x.36) = log₂64

log₂(216x³) = log₂64

216x³ = 64

x³ = 64/216

x³ = 8/27

x = 2/3

you need to give us more information since we can't answer

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )