What is the answer to 160=10log_{10}(x/(20)) ?

The answer to 160=10log_{10}(x/(20)) is x=10^{16}*20

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160=10log_{10}(x/(20))

160 = 10 lo g_{10} (\frac{x}{20})

x = 1 0^{16} \cdot 20

Decimal Notation

x = 2.0 E 17

Solution steps

160 = 10 lo g_{10} (\frac{x}{20})

Switch sides

10 lo g_{10} (\frac{x}{20}) = 160

Divide both sides by

10

lo g_{10} (\frac{x}{20}) = 16

Apply log rules

\frac{x}{20} = 1 0^{16}

Multiply both sides by

20

\frac{x}{20} \cdot 20 = 1 0^{16} \cdot 20

Simplify

x = 1 0^{16} \cdot 20

Verify Solutions:

x = 1 0^{16} \cdot 20

True

The solution is

x = 1 0^{16} \cdot 20

1 0^{l o g_{10} (x)} = x

lo g_{5} (2 x) = - 1

lo g_{2} (3 x^{2} - 2 x - 1) = 5

ln (Y) = 3

w, q = a \cdot ln (b w + 1)

What is the answer to 160=10log_{10}(x/(20)) ?
The answer to 160=10log_{10}(x/(20)) is x=10^{16}*20
Solve for x: 160=10log_{10}(x/(20))
The solution is x=10^{16}*20