To solve these equations, we will first simplify the expressions:
(7^x)^3 = 34This can be simplified as 7^(x*3) = 347^(3x) = 7^Therefore, 3x = x = 1
(25^x) = √Since 25 can be expressed as 5^2, the equation can be rewritten as(5^2)^x = √5^(2x) = 5^(1/2Therefore, 2x = 1/x = 1/4
So the solutions to the equations are x = 1 and x = 1/4.
To solve these equations, we will first simplify the expressions:
(7^x)^3 = 34
This can be simplified as 7^(x*3) = 34
7^(3x) = 7^
Therefore, 3x =
x = 1
(25^x) = √
Since 25 can be expressed as 5^2, the equation can be rewritten as
(5^2)^x = √
5^(2x) = 5^(1/2
Therefore, 2x = 1/
x = 1/4
So the solutions to the equations are x = 1 and x = 1/4.