+0  
 
0
18
2
avatar+4 

 

Let  be a real number such that  Then

125x=a√b. What are a and b?

 Oct 12, 2023
 #1
avatar+624 
-2

We can start by factoring 125:

125 = 5^3

Therefore, we can rewrite the equation as follows:

5^3x = a√b

We can also rewrite the right-hand side of the equation as follows:

a√b = a^(1/2)b^(1/4)

Setting the powers of 5 equal on both sides of the equation, we get:

3 = a^(1/2)b^(1/4)

Squaring both sides of the equation, we get:

9 = ab^(1/2)

Therefore, a=9 and b=16.

In conclusion, a=9​ and b=16​.

 Oct 12, 2023

4 Online Users

avatar
avatar
avatar