What is the answer to (3^x)/(9^{3x)}=81 ?

The answer to (3^x)/(9^{3x)}=81 is x=-4/5

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(3^x)/(9^{3x)}=81

\frac{3 ^{x}}{9 ^{3 x}} = 81

x = - \frac{4}{5}

Decimal Notation

x = - 0.8

Solution steps

\frac{3 ^{x}}{9 ^{3 x}} = 81

Apply exponent rules

- 5 x = 4

Solve

- 5 x = 4 : x = - \frac{4}{5}

x = - \frac{4}{5}

Verify Solutions:

x = - \frac{4}{5}

True

The solution is

x = - \frac{4}{5}

2 = 1.0 4^{x}

2^{m} = 0.125

4 x + 1 = 2^{3 x - 2}

e^{- 4 k - 10} = \frac{67}{6}

3^{x} = 5^{x + 2}

What is the answer to (3^x)/(9^{3x)}=81 ?
The answer to (3^x)/(9^{3x)}=81 is x=-4/5
Solve for x: (3^x)/(9^{3x)}=81
The solution is x=-4/5