What is the answer to 243^{0.2x}=81^{x+5} ?

The answer to 243^{0.2x}=81^{x+5} is x=-20/3

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243^{0.2x}=81^{x+5}

24 3^{0.2 x} = 8 1^{x + 5}

x = - \frac{20}{3}

Decimal Notation

x = - 6.66666 \dots

Solution steps

24 3^{0.2 x} = 8 1^{x + 5}

Apply exponent rules

x = 4 (x + 5)

Solve

x = 4 (x + 5) : x = - \frac{20}{3}

x = - \frac{20}{3}

9^{x} + 3^{1 + 2 x} = 40

e^{2 x} + 3 e^{x} - 28 = 0

2 e^{2 x} = e^{x} + 10

2^{7 x} = 16384

2^{x x} = 2^{27}

What is the answer to 243^{0.2x}=81^{x+5} ?
The answer to 243^{0.2x}=81^{x+5} is x=-20/3
Solve for x: 243^{0.2x}=81^{x+5}
The solution is x=-20/3