What is the answer to 2^{5y+1}=sqrt(2) ?

The answer to 2^{5y+1}=sqrt(2) is y=-1/10

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2^{5y+1}=sqrt(2)

2^{5 y + 1} = 2

y = - \frac{1}{10}

Decimal Notation

y = - 0.1

Solution steps

2^{5 y + 1} = 2

Apply exponent rules

5 y + 1 = \frac{1}{2}

Solve

5 y + 1 = \frac{1}{2} : y = - \frac{1}{10}

y = - \frac{1}{10}

y, e^{x y} + ln (x) = 10

3^{x} \times 5^{2 x} = 150

4^{x + 2} - 4^{x} = 120

15 - e^{x - 8} = 4

What is the answer to 2^{5y+1}=sqrt(2) ?
The answer to 2^{5y+1}=sqrt(2) is y=-1/10
Solve for y: 2^{5y+1}=sqrt(2)
The solution is y=-1/10