Math Help - Problem Wth Logarithm

1. Problem Wth Logarithm

I've a problem getting the answer for this question using scientific calculator....

2(lg4)^2

Hope someone can help me on this. Thanks.

2. Do you want the decimal or a simplified form of the logarithm?

3. In decimal. Thanks.

4. Well, your problem is probably due to the confusion between log base e and base 10. Base e is symbolized as "ln" on your calculator, while base 10 is symbolised as "log"

for the question, do you mean

$2(log4)^2$ or $(2 log 4)^2$?

And in what base are those logs?

5. The first one....

2(lg4)^2

That is exactly the question shown.

6. For log base 10,

$2[(log4)^2]$ = 0.724952...

For log base e

$2[(ln4)^2]$ = 3.843624...

7. I've scanned the questions from the textbook. Questions a) and b), I have no problem. But questions c), d) and f) are problems.

Thanks GUSBOB. But the answers are still incorrect. Wondering the text book has wrong answers.