What is the answer to 0.4=log_{2}(x/(32000)) ?

The answer to 0.4=log_{2}(x/(32000)) is x=2^{0.4}*32000

Solve for x: 0.4=log_{2}(x/(32000))

The solution is x=2^{0.4}*32000

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0.4 = lo g_{2} (\frac{x}{32000})

x = 2^{0.4} \cdot 32000

Decimal Notation

x = 42224.25314 \dots

Solution steps

0.4 = lo g_{2} (\frac{x}{32000})

Apply log rules

2^{0.4} = \frac{x}{32000}

Multiply both sides by

32000

2^{0.4} \cdot 32000 = \frac{x}{32000} \cdot 32000

Simplify

2^{0.4} \cdot 32000 = x

Switch sides

x = 2^{0.4} \cdot 32000

Verify Solutions:

x = 2^{0.4} \cdot 32000

True

The solution is

x = 2^{0.4} \cdot 32000

ln (x) = \frac{1}{2} x - 2

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

lo g_{x + 6} (3 x^{2} + 6 x) = 2

ln (4 - x) = 0

ln (x + 6) = - 1

What is the answer to 0.4=log_{2}(x/(32000)) ?
The answer to 0.4=log_{2}(x/(32000)) is x=2^{0.4}*32000
Solve for x: 0.4=log_{2}(x/(32000))
The solution is x=2^{0.4}*32000