What is the answer to 81^y3^{-(2y)/3}=243 ?

The answer to 81^y3^{-(2y)/3}=243 is y= 3/2

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81^y3^{-(2y)/3}=243

8 1^{y} 3^{- \frac{2 y}{3}} = 243

y = \frac{3}{2}

Decimal Notation

y = 1.5

Solution steps

8 1^{y} \cdot 3^{- \frac{2 y}{3}} = 243

Apply exponent rules

4 y - \frac{2 y}{3} = 5

Solve

4 y - \frac{2 y}{3} = 5 : y = \frac{3}{2}

y = \frac{3}{2}

128 = 2 (2)^{x - 1}

1.429 = 2^{x}

37 = 9 e^{- 0.11778 x} + 22

2^{p} + 2^{p} = 2^{k}

9^{x} = 2 7^{4}

What is the answer to 81^y3^{-(2y)/3}=243 ?
The answer to 81^y3^{-(2y)/3}=243 is y= 3/2
Solve for y: 81^y3^{-(2y)/3}=243
The solution is y= 3/2