What is the answer to solvefor w,q=2ln(w/(2p)) ?

The answer to solvefor w,q=2ln(w/(2p)) is w=e^{q/2}*2p

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solvefor w,q=2ln(w/(2p))

solve for

w, q = 2 ln (\frac{w}{2 p})

w = e^{\frac{q}{2}} \cdot 2 p

Solution steps

q = 2 ln (\frac{w}{2 p})

Switch sides

2 ln (\frac{w}{2 p}) = q

Divide both sides by

2

ln (\frac{w}{2 p}) = \frac{q}{2}

Apply log rules

\frac{w}{2 p} = e^{\frac{q}{2}}

Multiply both sides by

2 p

\frac{w}{2 p} \cdot 2 p = e^{\frac{q}{2}} \cdot 2 p

Simplify

w = e^{\frac{q}{2}} \cdot 2 p

lo g_{2} (x - 1) = 4

lo g_{10} (5 x) = lo g_{10} (2 x + 9)

lo g_{5} (x + 10) + 7 = 9

lo g_{b} (100) = 3

lo g_{2} (3 x + 4) = 5

What is the answer to solvefor w,q=2ln(w/(2p)) ?
The answer to solvefor w,q=2ln(w/(2p)) is w=e^{q/2}*2p