What is the answer to 5^{x+2}+5^{x+1}=150 ?

The answer to 5^{x+2}+5^{x+1}=150 is x=1

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5^{x+2}+5^{x+1}=150

5^{x + 2} + 5^{x + 1} = 150

x = 1

Solution steps

5^{x + 2} + 5^{x + 1} = 150

Factor

5^{x + 2} + 5^{x + 1} : 6 \cdot 5^{x + 1}

6 \cdot 5^{x + 1} = 150

Divide both sides by

6

5^{x + 1} = 25

Apply exponent rules

x + 1 = 2

Solve

x + 1 = 2 : x = 1

x = 1

1 0^{x} = 5^{3 x + 2}

2^{x} \cdot \frac{1}{4} = 8^{x - 1}

6 = 1 3^{w}

9^{x} - 7 \cdot 3^{x} - 18 = 0

12 (8)^{x + 1} = 24

What is the answer to 5^{x+2}+5^{x+1}=150 ?
The answer to 5^{x+2}+5^{x+1}=150 is x=1
Solve for x: 5^{x+2}+5^{x+1}=150
The solution is x=1