What is the answer to 2^{3-8w}-7=11 ?

The answer to 2^{3-8w}-7=11 is w=-(ln(3/2))/(4ln(2))

Solve for w: 2^{3-8w}-7=11

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

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2^{3 - 8 w} - 7 = 11

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

Solution steps

2^{3 - 8 w} - 7 = 11

Move

7

to the right side

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 )}

20 \cdot 7^{3 y} = 5

1 = 4^{x}

4^{x + 2} = 12

5^{9 x + 5} = 2

y, x = e^{y} - e^{- y}

What is the answer to 2^{3-8w}-7=11 ?
The answer to 2^{3-8w}-7=11 is w=-(ln(3/2))/(4ln(2))
Solve for w: 2^{3-8w}-7=11
The solution is w=-(ln(3/2))/(4ln(2))