Question

Write the expression as a sum and/or a difference of logarithms, with all variables to the first degree.

In 2x2y8
In 2x2y = (Simplify your answer.)

Answer 1

• ln 2 + 2 ln x + 8 ln y

Explanation:

Use of properties

• log ab = log a + log b
• log a^b = b log a

Given expression

• In 2x^2y^8

Simplifying

• In 2x^2y^8 =
• ln 2 + ln x^2 + ln y^8 =
• ln 2 + 2 ln x + 8 ln y