Question

Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)

Answer 1

Explanation:

Log Rules

• A plus sign between logs means multiply.
• A minus between logs means divide
• A number in front of the log means a power

Givens

1/2 log (x)

log (x)^(1/2)

2 log(2y)

log(2y)^2

log(2^2y^2)

log(4y^2)

3 log(z)

log(z^3)

Solution

log(x)^(1/2) * log(z^3) / log(4 y^2)

Answer: log(x^1/2)*(z^3)/(4y^2)