(5x-2)^4/3 = 625

Question

Solve each equation exactly (answer as real number if possible, if not leave in logarithmic form) 

Answer 1

Hi Sarah,

Lets start with recognizing that 625=5*5*5*5=5⁴ That will give us (5x-2)^1/3=5

This is the same as saying 5x-2=5³ or 5x-2=125 add 2 to both sides and you get

5x=127

x=127/5