What is the answer to 5^x+5^{x-1}+5^{x-2}=155 ?

The answer to 5^x+5^{x-1}+5^{x-2}=155 is x=3

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5^x+5^{x-1}+5^{x-2}=155

5^{x} + 5^{x - 1} + 5^{x - 2} = 155

x = 3

Solution steps

5^{x} + 5^{x - 1} + 5^{x - 2} = 155

Factor

5^{x} + 5^{x - 1} + 5^{x - 2} : 31 \cdot 5^{x - 2}

31 \cdot 5^{x - 2} = 155

Divide both sides by

31

5^{x - 2} = 5

Apply exponent rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

2^{x - 1} = 35

a, x^{a} = x^{11} + x^{10}

12 = \frac{100}{2 ^{\frac{x}{10}}}

2^{x} = x

x, 2 a^{x + 1} + 4^{y + 1} = 96

What is the answer to 5^x+5^{x-1}+5^{x-2}=155 ?
The answer to 5^x+5^{x-1}+5^{x-2}=155 is x=3
Solve for x: 5^x+5^{x-1}+5^{x-2}=155
The solution is x=3