Question

Question #833f2

Answer 1

`t=45`

Explanation:

There are several thing to remember about logs.

Logs being added means the source numbers are multiplied

Not in your question: Loges being subtracted means that the source numbers are divided

Logs being multiplied mean that for `2ln(3)` it is another way of writing `ln(3^2)`

Not in your question: For loges being divided, say `ln(x)/2` it is another way of writing `ln( sqrt(x))`

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Given: `ln(t)=ln(5)+2ln(3)`

Write as `ln(t)=ln(5)+ln(3^2)`

Write as `ln(t)=ln(3^2xx5)`

`=>ln(t)=ln(45)`

In my day they called it Anti Log. Now they call it Invers log.

Taking the invers log of both sides

`=>t=45`