(7^x)^3=343 (25^x)=√5

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To solve these equations, we will first simplify the expressions:

(7^x)^3 = 343
This can be simplified as 7^(x*3) = 343
7^(3x) = 7^3
Therefore, 3x = 3
x = 1

(25^x) = √5
Since 25 can be expressed as 5^2, the equation can be rewritten as:
(5^2)^x = √5
5^(2x) = 5^(1/2)
Therefore, 2x = 1/2
x = 1/4

So the solutions to the equations are x = 1 and x = 1/4.