What is the answer to (3^{3m})/(3^{m+1)}=243 ?

The answer to (3^{3m})/(3^{m+1)}=243 is m=3

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(3^{3m})/(3^{m+1)}=243

\frac{3 ^{3 m}}{3 ^{m + 1}} = 243

m = 3

Solution steps

\frac{3 ^{3 m}}{3 ^{m + 1}} = 243

Apply exponent rules

2 m - 1 = 5

Solve

2 m - 1 = 5 : m = 3

m = 3

Verify Solutions:

m = 3

True

The solution is

m = 3

6 (9^{x}) + 3^{x} - 2 = 0

3 \cdot 4 9^{x} = 3

e^{r + 4} + 6 = 29

3 2^{3 x + 4} = 12 8^{2 x + 3}

2^{0} + 2^{1 - 2 x} = 9 \cdot 2^{- 1 - x}

What is the answer to (3^{3m})/(3^{m+1)}=243 ?
The answer to (3^{3m})/(3^{m+1)}=243 is m=3
Solve for m: (3^{3m})/(3^{m+1)}=243
The solution is m=3