What is the answer to (1/3)^{x+3}=3^{8x+5} ?

The answer to (1/3)^{x+3}=3^{8x+5} is x=-8/9

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(1/3)^{x+3}=3^{8x+5}

(\frac{1}{3})^{x + 3} = 3^{8 x + 5}

x = - \frac{8}{9}

Decimal

x = - 0.88888 \dots

Solution steps

(\frac{1}{3})^{x + 3} = 3^{8 x + 5}

Apply exponent rules

- (x + 3) = 8 x + 5

Solve

- (x + 3) = 8 x + 5 : x = - \frac{8}{9}

x = - \frac{8}{9}

5^{x} + 2 5^{x} + 12 5^{x} = - 5

y, x = \frac{e ^{y} - e ^{- y}}{2}

5^{x (x - 1)} = 1

e^{3 - 5 x} = 16

y, x = 2^{y}

What is the answer to (1/3)^{x+3}=3^{8x+5} ?
The answer to (1/3)^{x+3}=3^{8x+5} is x=-8/9
Solve for x: (1/3)^{x+3}=3^{8x+5}
The solution is x=-8/9