What is the answer to 3.81=-log_{10}(k) ?

The answer to 3.81=-log_{10}(k) is k= 1/(10^{3.81)}

Solve for k: 3.81=-log_{10}(k)

The solution is k= 1/(10^{3.81)}

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3.81 = - lo g_{10} (k)

k = \frac{1}{1 0 ^{3.81}}

Decimal Notation

k = 0.00015 \dots

Solution steps

3.81 = - lo g_{10} (k)

Move

lo g_{10} (k)

to the left side

3.81 + lo g_{10} (k) = 0

Move

3.81

to the right side

lo g_{10} (k) = - 3.81

Apply log rules

k = \frac{1}{1 0 ^{3.81}}

Verify Solutions:

k = \frac{1}{1 0 ^{3.81}}

True

The solution is

k = \frac{1}{1 0 ^{3.81}}

ln (x) - ln (x - 3) = ln (2)

lo g_{10} (x) = 0.67

lo g_{10} (x) = 0.65

lo g_{x} (\frac{1}{64}) = - 6

lo g_{t} (243) = 5

What is the answer to 3.81=-log_{10}(k) ?
The answer to 3.81=-log_{10}(k) is k= 1/(10^{3.81)}
Solve for k: 3.81=-log_{10}(k)
The solution is k= 1/(10^{3.81)}