Evaluate 4log(4)8
Possible answers are:
4
0
8
1
Where do I start-I don't have an example to follow? Please give me a direction do I evaluate log(4)8 first
4log4 8= 2log4 16=2*2=4
We just started this today but how did you get 2log4 16 = 2 *2 = 4
Thank you
16= 4^2 so logbase4 of 16=2
Thank you
I read that as
4 log48
= log48^4
= log44096
= 6
since 4^6 = 4096
or
8 can be written as 4^(3/2)
then 4log48
= 4log44^(3/2)
= 4(3/2)
= 6
It was written as 4 and then the log(4)8 was raised so how do I do it-I'm really confused now
The choices were
4
0
8
1
To evaluate the expression 4log(4)8, let's break it down step by step:
Step 1: Evaluate log(4)8.
In logarithms, the base indicates the number being raised to a certain power to get the input. In this case, the base is 4, and we want to find the power that results in 8. So, we need to solve the equation: 4^x = 8.
To find x, we can rewrite 8 as a power of 4: 8 = 4^2. Now the equation becomes: 4^x = 4^2.
Since the bases are the same, the exponent should also be the same. Therefore, x = 2.
Step 2: Substitute the value of x into the original expression.
Now that we know log(4)8 = 2, we can substitute this value back into the original expression: 4 * 2 = 8.
The final answer is 8.