Help with solving this equation. Please help!

Question

f(x) = 8^(x+1) Find f(1/3)

 

Thank you in advance

Answer 1

Good afternoon, Lena. Let's see what we can do.

 

If we add 1/3 + 1, we get 4/3, right?  So, we end up with 8^(4/3).  What does this mean?

 

Remember that the square root of, say, 4 can be written as 4^(1/2).  What a fraction as an exponent means is that we take the denominator's root of 4 and then raise it to the power of the numerator.

 

In other words, if we take the square root of 4, we get 2.  If we raise 2 to the first power ,2^1, we get 2.

 

Let's say it was 4^(3/2).  We'd take the square root of 4 and get 2, then raise it to the power of 3 ,2^3, and get 8. Does this make sense? Can you solve your problem from here?

Answer 2

F(x) indicates that this is a function of x, therefore f(1/3) is asking for the value of the given function when x = 1/3

 

Simple substitution will show that f(1/3)=8^(1/3+1)

 

I'm sure you can take it from here? =)