Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

$3\ln x = \ln x + \ln x + \ln x = \ln(x\times x\times x) = \ln(x^3)$

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