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

Sagot :

semsee45

Answer:

[tex]x=43[/tex]

Step-by-step explanation:

Given equation:

[tex]25=5(3x-4)^{\frac13}[/tex]

Divide both sides by 5:

[tex]\implies 5=(3x-4)^{\frac13}[/tex]

Cube both sides:

[tex]\implies 5^3=((3x-4)^{\frac13})^3[/tex]

[tex]\implies 125=(3x-4)^{\frac33}[/tex]

[tex]\implies 125=(3x-4)^1[/tex]

[tex]\implies 125=3x-4[/tex]

Add 4 to both sides:

[tex]\implies 129=3x[/tex]

Divide both sides by 3:

[tex]\implies x=43[/tex]

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
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