Question

Use the properties of logarithms to evaluate each of the following expressions. (a) log₃ 72-3log₃2=

(b) Ine⁶ + Ine⁻¹²= Question 11 of 15 Use the properties of logarithms to expand log x/y⁵
Each logarithm should involve only one variable and should not have any exponents. Assume that all variables are positive.

Answer 1

See below for each answer and explanation

Explanation:

`\log_372-3\log_32\\\log_372-\log_32^3\\\log_372-\log_38\\\log_3\bigr((72)/(8)\bigr)\\\log_3(9)\\2`

`\ln e^6+\ln e^(-12)\\\ln(e^6*e^(-12))\\\ln(e^(-6))\\-6\ln(e)\\-6`

`\log\bigr((x)/(y^5)\bigr)\\\log x-\log y^5\\\log x-5\log y`