SOLUTION: Solve algebraically for x: log5x-1 4=1/3

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Question 954010: Solve algebraically for x: log5x-1 4=1/3
Found 2 solutions by Frosty7, MathTherapy:
Answer by Frosty7(4)   (Show Source): You can put this solution on YOUR website!
log_(5x-1) 4 =1/3
(y=b^x)= (x=log_b(y))
Which is (5x-1)^(1/3)=4
(5x-1)^(1/3)= (64)^(1/3) (same as 4)
5x=65 (add 1 to both sides)
∴ x=13 (divide 5 to both sides)
Hope this helps!
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Solve algebraically for x: log5x-1 4=1/3


If , then:

 ---------- Logarithmic form

 --------- Exponential form

 ---- Cubing both sides

 

5x – 1 = 64

5x = 64 + 1

5x = 65

x = , or  

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