What is the answer to 8^{z+1}=16sqrt(2) ?

The answer to 8^{z+1}=16sqrt(2) is z= 1/2

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8^{z+1}=16sqrt(2)

8^{z + 1} = 162

z = \frac{1}{2}

Decimal

z = 0.5

Solution steps

8^{z + 1} = 162

Apply exponent rules

3 (z + 1) = \frac{9}{2}

Solve

3 (z + 1) = \frac{9}{2} : z = \frac{1}{2}

z = \frac{1}{2}

4^{x - 3} = \frac{1}{16}

2^{2 x - 1} - 6 \times 2^{x - 1} + 4 = 0

2^{3 x} = 8^{x}

7 (3)^{x + 1} - 5^{x + 2} = 3^{x + 4} - 5^{x + 3}

16 = 0.5 \times 2^{x - 1}

What is the answer to 8^{z+1}=16sqrt(2) ?
The answer to 8^{z+1}=16sqrt(2) is z= 1/2
Solve for z: 8^{z+1}=16sqrt(2)
The solution is z= 1/2