Question

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers. (2 points)

2log x + 4log y

Answer 1

log x²
`y^(4)`

Explanation:

Using the rules of logarithms

log x + log y ⇔ log xy

log
`x^(n)` ⇔ n log x

Given

2logx + 4logy

= logx² + log
`y^(4)`

= log x²
`y^(4)`