Question

25= 5(3X-4)^1/3
PLEASE HELP AND SHOW WORK!
THANKS SM

Answer 1

x = 43

Explanation:

• 25 = 5∛(3x - 4)
• On cubing the entire expression :
• 15625 = 125(3x - 4)
• 3x - 4 = 125
• 3x = 129
• x = 43

Answer 2

`x=43`

Explanation:

Given equation:

`25=5(3x-4)^(\frac13)`

Divide both sides by 5:

`\implies 5=(3x-4)^(\frac13)`

Cube both sides:

`\implies 5^3=((3x-4)^(\frac13))^3`

`\implies 125=(3x-4)^(\frac33)`

`\implies 125=(3x-4)^1`

`\implies 125=3x-4`

Add 4 to both sides:

`\implies 129=3x`

Divide both sides by 3:

`\implies x=43`