What is the answer to 4=324(3^{-0.6(x)}) ?

The answer to 4=324(3^{-0.6(x)}) is x= 20/3

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4=324(3^{-0.6(x)})

4 = 324 (3^{- 0.6 (x)})

x = \frac{20}{3}

Decimal Notation

x = 6.66666 \dots

Solution steps

4 = 324 (3^{- 0.6 (x)})

Switch sides

324 \cdot 3^{- 0.6 x} = 4

Divide both sides by

324

3^{- 0.6 x} = \frac{1}{81}

Apply exponent rules

- 0.6 x = - 4

Solve

- 0.6 x = - 4 : x = \frac{20}{3}

x = \frac{20}{3}

8^{x} \cdot (4^{x})^{2 - 6} = 4

3^{x + 1} + 3^{x + 2} = 324

e^{t} = e^{2 t}

y = e^{y}

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

What is the answer to 4=324(3^{-0.6(x)}) ?
The answer to 4=324(3^{-0.6(x)}) is x= 20/3
Solve for x: 4=324(3^{-0.6(x)})
The solution is x= 20/3