What is the answer to 8^{x+1}=32sqrt(2) ?

The answer to 8^{x+1}=32sqrt(2) is x= 5/6

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8^{x+1}=32sqrt(2)

8^{x + 1} = 322

x = \frac{5}{6}

Decimal Notation

x = 0.83333 \dots

Solution steps

8^{x + 1} = 322

Apply exponent rules

3 (x + 1) = \frac{11}{2}

Solve

3 (x + 1) = \frac{11}{2} : x = \frac{5}{6}

x = \frac{5}{6}

24 3^{x - 4} = 8 1^{x - 5}

190 e^{\frac{x}{5}} = 95

2 5^{x} - 8 \cdot 5^{x} = - 16

5^{x + 4} = 12 5^{x - 4}

6^{x} = 47

What is the answer to 8^{x+1}=32sqrt(2) ?
The answer to 8^{x+1}=32sqrt(2) is x= 5/6
Solve for x: 8^{x+1}=32sqrt(2)
The solution is x= 5/6