Solve 5^-x = 625

Question

Solve 5^-x = 625

anonymous · Answer

does it help to know that $5^4=625$ ?

anonymous · Answer

u can basicallt take the 4th root of 625 so your answer would be 5

anonymous · Answer

The only issue is that the value of x equals a negative. Simply making 4 a negative does not solve the equation. :/

anonymous · Answer

so if the x is negative u move it to the denominator to make the exponent into a positive numnber

anonymous · Answer

So, to solve any problem like this: 

     5ˣ = 625 ... take the log of both sides 
    log[5ˣ] = log[625] 
      x • log[5] = log[625] 
     x = log[625] ⁄ log[5] 
     x = 4

anonymous · Answer

wtf ozzman don't answer if you don't know

anonymous · Answer

did that help?

anonymous · Answer

oops i read that as log 5^-x=625 from the start

anonymous · Answer

@plohr the x value is negative not positive.