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Answer:
x = 625^(1/5) ≈ 3.62390
Step-by-step explanation:
Using the change of base formula, we have ...
[tex]\log_x(25)=2.5\\\\\dfrac{\log(25)}{\log(x)}=2.5\\\\\log(x)=\dfrac{\log(25)}{2.5}=0.4\log(25)=\log(25^{0.4})\\\\x=25^{0.4}=\sqrt[5]{25^2}=\boxed{\sqrt[5]{625}\approx 3.62390}[/tex]
