What is the answer to -4*3^{6w}=-1750 ?

The answer to -4*3^{6w}=-1750 is w=(ln(875/2))/(6ln(3))

Solve for w: -4*3^{6w}=-1750

The solution is w=(ln(875/2))/(6ln(3))

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- 4 \cdot 3^{6 w} = - 1750

w = \frac{ln ( \frac{875}{2} )}{6 ln ( 3 )}

Decimal Notation

w = 0.92253 \dots

Solution steps

- 4 \cdot 3^{6 w} = - 1750

Divide both sides by

- 4

3^{6 w} = \frac{875}{2}

Apply exponent rules

6 w ln (3) = ln (\frac{875}{2})

Solve

6 w ln (3) = ln (\frac{875}{2}) : w = \frac{ln ( \frac{875}{2} )}{6 ln ( 3 )}

w = \frac{ln ( \frac{875}{2} )}{6 ln ( 3 )}

x, e = e^{x y}

(\frac{1}{4})^{x} = 64

\frac{( 2 ^{x} - 2 ^{- x} )}{3} = 4

e^{6 x} = e^{2 x + 1}

1 0^{2 - 3 x} = 1 0^{5 x - 6}

What is the answer to -4*3^{6w}=-1750 ?
The answer to -4*3^{6w}=-1750 is w=(ln(875/2))/(6ln(3))
Solve for w: -4*3^{6w}=-1750
The solution is w=(ln(875/2))/(6ln(3))