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Popular >

3^{n+3}+3^n=756

Solution

3^{n + 3} + 3^{n} = 756

Solution

n = 3

Solution steps

3^{n + 3} + 3^{n} = 756

Factor

3^{n + 3} + 3^{n} : 28 \cdot 3^{n}

28 \cdot 3^{n} = 756

Divide both sides by

28

3^{n} = 27

Apply exponent rules

n = 3

Popular Examples

5^{2x-2}-6*5^x+125=0

5^{2 x - 2} - 6 \cdot 5^{x} + 125 = 0

9^{x + 1} = 2 7^{x}

(x + 1) e^{- x} = 0

10 0^{x} + 1 0^{x} = 2

4^{n - 1} = 4096

Frequently Asked Questions (FAQ)

What is the answer to 3^{n+3}+3^n=756 ?
The answer to 3^{n+3}+3^n=756 is n=3
Solve for n: 3^{n+3}+3^n=756
The solution is n=3