How do you write this equation in logarithmic form?

125^(4/3)=625

3 answers

take log of each side:
(4/3)log125=log625
or notice 125=5^3 and 625=5^4

125^(4/3)=625
(5^3)^4/3 = 5^4
5^4=5^4 which is expected. taking it as log base 5 of each side
4=4
I am uncertain what you want to do.

4/3 log125 = log625

Log(base 125) 625 = 4/3

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