Question

Write the expression as a single natural logarithm. 3 ln 3 + 4 ln b

Answer 1

`\ln(3^3b^4)`

Explanation:

Repeated addition of ln(x) is ln of repeated multiplication of x:

`3\ln x = \ln x + \ln x + \ln x = \ln(x* x* x) = \ln(x^3)`

`3\ln 3 + 4 \ln b = \ln 3^3 + \ln b^4 =\ln(3^3b^4)`