How Do You Simplify 3 log[5](5^2)?

[recoil33]

Simplify
3 log[5] (5^2)


By the way ... to enter logb(x) for some base b one types: log(x)
... but once you've simplified the given expression you won't need to know that!


3log[5] (5^2) = (3log(5))/(log(5))

therefore:

3 log[5] (5^2) = 6

Although, would i keep the answer at 6? Because I am sapose to simplify

Thanks for help in advance,

Glenn

 

[HallsofIvy]

And how do you propose to simplify "6"? It's about a simple as you can get!

But why in the world would you need to use "$log_5(5^2)= log(5^2)/log(5)= 2(log(5)/log(5)= 2$" (and you missed the square in your formula by the way).

For any numbers a and x, $log_a(a^x)= x$ directly from the definition of logarithm.