# How do you condense #ln2+2ln3-ln18#?

##### 1 Answer

Jan 15, 2016

#### Answer:

0

#### Explanation:

Using the 'laws of logarithms ' :

• logx + logy = logxy

• logx - logy =

#log(x/y )# •

# logx^n = n logx # Applying these to this question :

# ln2 + 2ln3 - ln18 = ln2 + ln3^2 -ln18 = ln2 + ln9 - ln18 #

# = ln((2xx9)/18) = ln(18/18) = ln1 =0#