Question

Write the expression as a single natural logarithm. 3 In m + 4 Inn​

Answer 1

`ln( {m}^(3) {n}^(4) )`

Explanation:

`\alpha ln(x) = ln( {x}^( \alpha ) )`

`ln( {m}^(3) ) + ln( {n}^(4) )`

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

`ln( {m}^(3) {n}^(4) )`

Answer 2

Explanation:

ln(m^3*n^4)

We should check this out to see if it works.

Givens

m = 2

n = 3

3 ln(2) = 3*0.6931 = 2.0794

4*ln(3) = 4*1.0986 = 4.3944

Add 6.4738

Check Answer

ln(2^3*3^4)

ln(8*81)

ln(648)

6.4738 Just as it should be