Question

1. Write 41n 6-21n 2 as a single natural logarithm. (1 point)

Answer 1

Use 2 rules:
\[a \ln b=\ln b^a\]\[\ln a - \ln b = \ln \frac{a}{b}\]

Answer 2

that dont help i dont understand thoes rules

Answer 3

First rule means: if you have 4 ln 6, you can also write it as:\[\ln 6^4\]
Also: 2 ln 2 is the same as:\[\ln 2^2 = \ln 4\]

So your problem now is a little smaller:\[\ln 6^4 - \ln 4\]

The seond rule says: \[\ln 6^4 - \ln 4 = \ln \frac{ 6^4 }{ 4 }\]If you work out what \[\frac{ 6^4 }{ 4 }\]is, you have the answer.

Answer 4

ok ty

Answer 5

YW!