What is the answer to 3^{2x-5}+9^{x-2}=4 ?

The answer to 3^{2x-5}+9^{x-2}=4 is x= 5/2

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3^{2x-5}+9^{x-2}=4

3^{2 x - 5} + 9^{x - 2} = 4

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

3^{2 x - 5} + 9^{x - 2} = 4

Apply exponent rules

2 x = 5

Solve

2 x = 5 : x = \frac{5}{2}

x = \frac{5}{2}

(\frac{1}{16})^{x} = (\frac{1}{8})^{6}

3^{x + 1} = 81

2^{x} + 2^{x - 1} = 48

e^{2} x - e^{x} = 56

4^{7 x - 3} = 5^{2 x + 9}

What is the answer to 3^{2x-5}+9^{x-2}=4 ?
The answer to 3^{2x-5}+9^{x-2}=4 is x= 5/2
Solve for x: 3^{2x-5}+9^{x-2}=4
The solution is x= 5/2