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

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

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

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

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

x = 2^{0.4} \cdot 32000

Decimal Notation

x = 42224.25314 \dots

Solution steps

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

Apply log rules

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

Multiply both sides by

32000

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

Simplify

x = 2^{0.4} \cdot 32000

Verify Solutions:

x = 2^{0.4} \cdot 32000

True

The solution is

x = 2^{0.4} \cdot 32000

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

lo g_{x} (2) = x

lo g_{10} (x) = 1.44

lo g_{16} (x) = 2

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