ln x¹³ = (ln x)² please show me how to solve this step by step

Thanks

1 answer

13 lnx = (lnx)^2
let lnx = y

13y = y^2
y^2 - 13y = 0
y(y-13) = 0
y = 0 or y = 13

then lnx = 0 , but that is undefined
or
lnx = 13
x = e^13
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