What is the answer to 1.13=log_{2}(x/(32000)) ?

The answer to 1.13=log_{2}(x/(32000)) is x=2^{1.13}*32000

Solve for x: 1.13=log_{2}(x/(32000))

The solution is x=2^{1.13}*32000

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

x = 2^{1.13} \cdot 32000

Decimal Notation

x = 70034.79688 \dots

Solution steps

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

Apply log rules

2^{1.13} = \frac{x}{32000}

Multiply both sides by

32000

2^{1.13} \cdot 32000 = \frac{x}{32000} \cdot 32000

Simplify

2^{1.13} \cdot 32000 = x

Switch sides

x = 2^{1.13} \cdot 32000

Verify Solutions:

x = 2^{1.13} \cdot 32000

True

The solution is

x = 2^{1.13} \cdot 32000

lo g_{x} (2) + lo g_{x} (x) = 8

ln (x + 10) - ln (x + 4) = 3

- ln (1 - 2 y) = 0

ln (z) - 1 = 1

lo g_{3} (4 x + 8) = lo g_{3} (x + 2)

What is the answer to 1.13=log_{2}(x/(32000)) ?
The answer to 1.13=log_{2}(x/(32000)) is x=2^{1.13}*32000
Solve for x: 1.13=log_{2}(x/(32000))
The solution is x=2^{1.13}*32000