Question

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

Answer 1

Answer:

$x=43$

Step-by-step 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:

$\implies x=43$

Answer 2

Answer:

x = 43

Step-by-step explanation:

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