SOLUTION: Please show me the step by stem method...this is killing me! 8^(5/3)=2(4^(x/2)) I can do it by solving the left, dividing, and then logic; how do you do it another way? Pleas

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please show me the step by stem method...this is killing me! 8^(5/3)=2(4^(x/2)) I can do it by solving the left, dividing, and then logic; how do you do it another way? Pleas      Log On


   

Question 974537: Please show me the step by stem method...this is killing me!
8^(5/3)=2(4^(x/2))
I can do it by solving the left, dividing, and then logic; how do you do it another way? Please help!!!
Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
8^(5/3)=2(4^(x/2))
2^5 =2(4^(x/2))
32=2(4^(x/2))
16=(4^(x/2))
4^2=4^(x/2)
x/2=2
x=4

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please show me the step by stem method...this is killing me!
8^(5/3)=2(4^(x/2))
I can do it by solving the left, dividing, and then logic; how do you do it another way? Please help!!!
85/3%22=%222(4^x/2)

%282%5E3%29%5E%285%2F3%29+=+2%282%5E2%29%5E%28x%2F2%29

2(3 * (5/3)%22=%222(2)2 * (x/2)

2%5E5+=+2%282%5Ex%29

2%5E5%2F2%5E1+=+2%5Ex

2%5E4+=+2%5Ex 

highlight_green%28x+=+4%29 ------ Expressions' bases are equal and so are their exponents