What is the answer to 3^{x+2}-17*3^{x-1}=30 ?

The answer to 3^{x+2}-17*3^{x-1}=30 is x=2

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3^{x+2}-17*3^{x-1}=30

3^{x + 2} - 17 \cdot 3^{x - 1} = 30

x = 2

Solution steps

3^{x + 2} - 17 \cdot 3^{x - 1} = 30

Factor

3^{x + 2} - 17 \cdot 3^{x - 1} : 10 \cdot 3^{x - 1}

10 \cdot 3^{x - 1} = 30

Divide both sides by

10

3^{x - 1} = 3

Apply exponent rules

x - 1 = 1

Solve

x - 1 = 1 : x = 2

x = 2

4860 \cdot 0. 9^{x} = 20

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

\frac{3 2 ^{x}}{8} = 8^{150}

6. 9^{x} = (0.3)^{- x}

5 (1.08)^{x} = 20

What is the answer to 3^{x+2}-17*3^{x-1}=30 ?
The answer to 3^{x+2}-17*3^{x-1}=30 is x=2
Solve for x: 3^{x+2}-17*3^{x-1}=30
The solution is x=2