# How do you condense #lny+lnt#?

##### 1 Answer

Aug 22, 2017

#### Answer:

Provided

#ln y + ln t = ln (yt)#

#### Explanation:

Note that if

#ln a + ln b = ln (ab)#

This follows from the corresponding property of exponents:

#e^(p+q) = e^p * e^q#

since

So given

#p = ln a" "# and#" "q = ln b# .

Then:

#e^p = a" "# and#" "e^q = b#

So:

#ln a + ln b = p + q = ln(e^(p+q)) = ln(e^p * e^q) = ln(ab)#

So provided

#ln y + ln t = ln (yt)#