1. ## Logarithmic Evaluation

3log 4 base 3
3

or

3^(3log 4 base 3)

Find the value.

Thanks

2. Originally Posted by Tracer

3log 4 base 3
3

or

3^(3log 4 base 3)

Find the value.

Thanks

It's not completely clear what you meant: if it is $\displaystyle \log_34$ , then $\displaystyle 3^{3\log_34}=3^{\log_364}$ , and now remember that $\displaystyle a^{\log_ab}=b\,,\,\,\forall\,\,0<a,b\in\mathbb{R}\ ,,\,\,a\neq 1$

Tonio

3. Yes that is what I meant, sorry, I don't really know how to use code to make an image like that. Me and my dad had a controversy on how to solve it. My teacher showed me a way to cancel out the bases, but my dad did it another way and we got different answers. I just want to know the final result to prove which way is right.

4. Originally Posted by Tracer
Yes that is what I meant, sorry, I don't really know how to use code to make an image like that. Me and my dad had a controversy on how to solve it. My teacher showed me a way to cancel out the bases, but my dad did it another way and we got different answers. I just want to know the final result to prove which way is right.

The final result is there in my post; you just have to decode it by reading it carefully .

Tonio