What is the answer to 2^{3-8w}=18 ?

The answer to 2^{3-8w}=18 is w=-(ln(3/2))/(4ln(2))

Solve for w: 2^{3-8w}=18

The solution is w=-(ln(3/2))/(4ln(2))

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2^{3 - 8 w} = 18

w = - \frac{ln ( \frac{3}{2} )}{4 ln ( 2 )}

Solution steps

2^{3 - 8 w} = 18

Apply exponent rules

(3 - 8 w) ln (2) = ln (18)

Solve

(3 - 8 w) ln (2) = ln (18) : w = - \frac{ln ( \frac{3}{2} )}{4 ln ( 2 )}

w = - \frac{ln ( \frac{3}{2} )}{4 ln ( 2 )}

1 0^{3 x - 1} = 1

8^{x + 1} - 8^{x - 1} = 20

71 = 2 1^{x}

5^{2 x} = 5^{x} + 30

300 = 1500 - 1500 (0.9)^{t}

What is the answer to 2^{3-8w}=18 ?
The answer to 2^{3-8w}=18 is w=-(ln(3/2))/(4ln(2))
Solve for w: 2^{3-8w}=18
The solution is w=-(ln(3/2))/(4ln(2))