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3^(2x-1)=4^(x-2) include all steps please

1 Answer

4 votes

Answer: No solution

Explanation:

To solve the equation 3^(2x-1) = 4^(x-2), we can rewrite 4 as 2^2.

So, the equation becomes 3^(2x-1) = (2^2)^(x-2).

Simplifying further, we have 3^(2x-1) = 2^(2x-4).

Since the bases are the same, we can equate the exponents:

2x - 1 = 2x - 4.

Simplifying this equation, we get -1 = -4, which is not true.

Therefore, there is no solution for the given equation.

answered
User Smatthewenglish
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