What is the answer to 3^{x+2}=9^{2x-1} ?

The answer to 3^{x+2}=9^{2x-1} is x= 4/3

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3^{x+2}=9^{2x-1}

3^{x + 2} = 9^{2 x - 1}

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

3^{x + 2} = 9^{2 x - 1}

Apply exponent rules

x + 2 = 2 (2 x - 1)

Solve

x + 2 = 2 (2 x - 1) : x = \frac{4}{3}

x = \frac{4}{3}

2^{2 x + 3} = 2^{x + 1} + 3

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

\frac{( 4 ^{x} + 4 )}{5} = 2^{x}

7^{3 x - 17} = 4 9^{x}

What is the answer to 3^{x+2}=9^{2x-1} ?
The answer to 3^{x+2}=9^{2x-1} is x= 4/3
Solve for x: 3^{x+2}=9^{2x-1}
The solution is x= 4/3