With any equation you are allowed to take the logarithm of both sides so
5^c=125 now take the logarithm base 5 to both sides giving.
log5(5^c)=log5(125), using the rule log(a^b)=a*log(b) you get
c log5(5)=log5(125), since log5(5)=1
c=log5(125)
Note that x is the hypotenuse of a right triangle. Applying the Pyth. Thm.,
x^2 = 2^2 + 6^2, or x^2 = 4 + 36 = 40.
Thus, the hypotenuse is +sqrt(40), or 2sqrt(10).
Answer:
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