What is the answer to (36^{3+2n})/(6^n)=1 ?

The answer to (36^{3+2n})/(6^n)=1 is n=-2

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(36^{3+2n})/(6^n)=1

\frac{3 6 ^{3 + 2 n}}{6 ^{n}} = 1

n = - 2

Solution steps

\frac{3 6 ^{3 + 2 n}}{6 ^{n}} = 1

Apply exponent rules

(2 (3 + 2 n) - n) ln (6) = ln (1)

Solve

(2 (3 + 2 n) - n) ln (6) = ln (1) : n = - 2

n = - 2

Verify Solutions:

n = - 2

True

The solution is

n = - 2

4^{6 x + 3} = 3 2^{x (5 - x)}

7^{2 x} - 11 (7^{x}) + 10 = 0

3 \cdot 4^{x} + 4^{x - 1} = 208

2 7^{3 x} = 81

3^{x} mod 17 = 12

What is the answer to (36^{3+2n})/(6^n)=1 ?
The answer to (36^{3+2n})/(6^n)=1 is n=-2
Solve for n: (36^{3+2n})/(6^n)=1
The solution is n=-2