What is the answer to solvefor x,t=2ln(16x) ?

The answer to solvefor x,t=2ln(16x) is x=(e^{t/2})/(16)

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solvefor x,t=2ln(16x)

solve for

x, t = 2 ln (16 x)

x = \frac{e ^{\frac{t}{2}}}{16}

Solution steps

t = 2 ln (16 x)

Switch sides

2 ln (16 x) = t

Divide both sides by

2

ln (16 x) = \frac{t}{2}

Apply log rules

16 x = e^{\frac{t}{2}}

Solve

16 x = e^{\frac{t}{2}} : x = \frac{e ^{\frac{t}{2}}}{16}

x = \frac{e ^{\frac{t}{2}}}{16}

Verify Solutions:

x = \frac{e ^{\frac{t}{2}}}{16}

True

The solution is

x = \frac{e ^{\frac{t}{2}}}{16}

10 lo g_{10} (x) = 52

10 lo g_{10} (x) = 50

lo g_{16} (x) = 2 + lo g_{16} (2)

2 lo g_{4} (x + 1) = 5

6 lo g_{5} (4 p - 3) - 2 = 16

What is the answer to solvefor x,t=2ln(16x) ?
The answer to solvefor x,t=2ln(16x) is x=(e^{t/2})/(16)