What is the answer to 40=-20log_{10}(k) ?

The answer to 40=-20log_{10}(k) is k= 1/100

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40=-20log_{10}(k)

40 = - 20 lo g_{10} (k)

k = \frac{1}{100}

Decimal Notation

k = 0.01

Solution steps

40 = - 20 lo g_{10} (k)

Switch sides

- 20 lo g_{10} (k) = 40

Divide both sides by

- 20

lo g_{10} (k) = - 2

Apply log rules

k = \frac{1}{100}

Verify Solutions:

k = \frac{1}{100}

True

The solution is

k = \frac{1}{100}

3.982 = - lo g_{10} (b)

x^{2} ln (x + y) = 0

lo g_{10} (5 x) + lo g_{10} (3 x) = 1

lo g_{4} (x + 8) + lo g_{4} (x + 5) = 1

lo g_{b} (5) = \frac{1}{4}

What is the answer to 40=-20log_{10}(k) ?
The answer to 40=-20log_{10}(k) is k= 1/100
Solve for k: 40=-20log_{10}(k)
The solution is k= 1/100