What is the answer to 3^{x+5}+3^x=177876 ?

The answer to 3^{x+5}+3^x=177876 is x=6

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3^{x+5}+3^x=177876

3^{x + 5} + 3^{x} = 177876

x = 6

Solution steps

3^{x + 5} + 3^{x} = 177876

Factor

3^{x + 5} + 3^{x} : 244 \cdot 3^{x}

244 \cdot 3^{x} = 177876

Divide both sides by

244

3^{x} = 729

Apply exponent rules

x = 6

a^{x} = x

3^{m + 2} = 4

2^{2 x - 2} - 3 \cdot 2^{x} + 8 = 0

e^{(x^{2} - 2 x)} = 1

6^{2 x - 2} = 4^{3 x - 9}

What is the answer to 3^{x+5}+3^x=177876 ?
The answer to 3^{x+5}+3^x=177876 is x=6
Solve for x: 3^{x+5}+3^x=177876
The solution is x=6