# use properties of logarithms to condense the logarithmic expression, write the expression as a single logarithm whose coefficent is 1 see belowalso where possible evualte logarithmic expresions 1/5...

use properties of logarithms to condense the logarithmic expression, write the expression as a single logarithm whose coefficent is 1

see below

also where possible evualte logarithmic expresions

1/5 ln y + ln z

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### 1 Answer

Since the expression has the natural logarithm, we can combine using the power rule and the multiplication rule:

`1/5lny+ln z` apply power rule

`=ln y^{1/5}+ln z` apply multiplication rule

`=ln (y^{1/5}z)`

**The expression simplifies to `ln(y^{1/5}z)` .**

**Sources:**