(5/2)^x = (125/8)
x=3
Solve for x over the real numbers:
(5/2)^x = 125/8
Multiply both sides by 8:
2^(3-x) 5^x = 125
125 = 5^3:
2^(3-x)·5^x = 5^3
Express both sides with bases 2 and 5:
2^(3-x)·5^x = 2^0·5^3
Equate exponents of 2 and 5 on both sides:
3-x = 0 and x = 3
All equations give x = 3 as the solution:
Answer: |
| x = 3
