What is the answer to 20*log_{10}(2x)=13.7 ?

The answer to 20*log_{10}(2x)=13.7 is x=(10^{0.685})/2

Solve for x: 20*log_{10}(2x)=13.7

The solution is x=(10^{0.685})/2

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20 \cdot lo g_{10} (2 x) = 13.7

x = \frac{1 0 ^{0.685}}{2}

Decimal

x = 2.42086 \dots

Solution steps

20 lo g_{10} (2 x) = 13.7

Divide both sides by

20

lo g_{10} (2 x) = 0.685

Apply log rules

2 x = 1 0^{0.685}

Solve

2 x = 1 0^{0.685} : x = \frac{1 0 ^{0.685}}{2}

x = \frac{1 0 ^{0.685}}{2}

Verify Solutions:

x = \frac{1 0 ^{0.685}}{2}

True

The solution is

x = \frac{1 0 ^{0.685}}{2}

lo g_{8} (x) = \frac{- 1}{3}

1.036 = lo g_{10} (x)

ln (1 + e^{x}) = 0

lo g_{10} (3 x) = 7

lo g_{10} (3 x) = 8

What is the answer to 20*log_{10}(2x)=13.7 ?
The answer to 20*log_{10}(2x)=13.7 is x=(10^{0.685})/2
Solve for x: 20*log_{10}(2x)=13.7
The solution is x=(10^{0.685})/2