What is the answer to 20log_{10}(1/k)=17.1 ?

The answer to 20log_{10}(1/k)=17.1 is k= 1/(10^{0.855)}

Solve for k: 20log_{10}(1/k)=17.1

The solution is k= 1/(10^{0.855)}

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20 lo g_{10} (\frac{1}{k}) = 17.1

k = \frac{1}{1 0 ^{0.855}}

Decimal Notation

k = 0.13963 \dots

Solution steps

20 lo g_{10} (\frac{1}{k}) = 17.1

Divide both sides by

20

lo g_{10} (\frac{1}{k}) = 0.855

Apply log rules

\frac{1}{k} = 1 0^{0.855}

Multiply both sides by

k

\frac{1}{k} k = 1 0^{0.855} k

Simplify

1 = 1 0^{0.855} k

Solve

1 = 1 0^{0.855} k : k = \frac{1}{1 0 ^{0.855}}

k = \frac{1}{1 0 ^{0.855}}

Verify Solutions:

k = \frac{1}{1 0 ^{0.855}}

True

The solution is

k = \frac{1}{1 0 ^{0.855}}

y, ln (y) = - 2 t

lo g_{10} (x) = - 1.187087

lo g_{27} (x) = lo g_{3} (x) + 2

ln (x) = ln (4.52) + 1, 10 y - 1, 14 z

3 lo g_{3} (x) + 4 lo g_{x} (3) = 7

What is the answer to 20log_{10}(1/k)=17.1 ?
The answer to 20log_{10}(1/k)=17.1 is k= 1/(10^{0.855)}
Solve for k: 20log_{10}(1/k)=17.1
The solution is k= 1/(10^{0.855)}