What is the answer to 0.7=log_{2}(X/(32000)) ?

The answer to 0.7=log_{2}(X/(32000)) is X=2^{0.7}*32000

Solve for X: 0.7=log_{2}(X/(32000))

The solution is X=2^{0.7}*32000

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0.7 = lo g_{2} (\frac{X}{32000})

X = 2^{0.7} \cdot 32000

Decimal Notation

X = 51984.15336 \dots

Solution steps

0.7 = lo g_{2} (\frac{X}{32000})

Apply log rules

2^{0.7} = \frac{X}{32000}

Multiply both sides by

32000

2^{0.7} \cdot 32000 = \frac{X}{32000} \cdot 32000

Simplify

2^{0.7} \cdot 32000 = X

Switch sides

X = 2^{0.7} \cdot 32000

Verify Solutions:

X = 2^{0.7} \cdot 32000

True

The solution is

X = 2^{0.7} \cdot 32000

5 lo g_{10} (x) = 8

lo g_{x + 3} (9) = lo g_{5} (3)

lo g_{a} (49) = 2

3 ln (x + 3) = 6

1 = \frac{1}{n} lo g_{10} (n)

What is the answer to 0.7=log_{2}(X/(32000)) ?
The answer to 0.7=log_{2}(X/(32000)) is X=2^{0.7}*32000
Solve for X: 0.7=log_{2}(X/(32000))
The solution is X=2^{0.7}*32000