What is the answer to 3^x*3^{2x-3}=3^5 ?

The answer to 3^x*3^{2x-3}=3^5 is x= 8/3

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3^x*3^{2x-3}=3^5

3^{x} \cdot 3^{2 x - 3} = 3^{5}

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

3^{x} \cdot 3^{2 x - 3} = 3^{5}

Apply exponent rules

3 x - 3 = 5

Solve

3 x - 3 = 5 : x = \frac{8}{3}

x = \frac{8}{3}

3^{x} = 1000

3^{4 x} = 81

e^{x^{2} + 2 x} = 2

3^{2 t - 1} = 7^{t + 2}

7^{x} = 32

What is the answer to 3^x*3^{2x-3}=3^5 ?
The answer to 3^x*3^{2x-3}=3^5 is x= 8/3
Solve for x: 3^x*3^{2x-3}=3^5
The solution is x= 8/3