What is the answer to -4=20*log_{10}(x/(80)) ?

The answer to -4=20*log_{10}(x/(80)) is x=8*10^{4/5}

Popular >

-4=20*log_{10}(x/(80))

- 4 = 20 \cdot lo g_{10} (\frac{x}{80})

x = 8 \cdot 1 0^{\frac{4}{5}}

Decimal Notation

x = 50.47658 \dots

Solution steps

- 4 = 20 lo g_{10} (\frac{x}{80})

Switch sides

20 lo g_{10} (\frac{x}{80}) = - 4

Divide both sides by

20

lo g_{10} (\frac{x}{80}) = - \frac{1}{5}

Apply log rules

\frac{x}{80} = 1 0^{- \frac{1}{5}}

Multiply both sides by

80

\frac{x}{80} \cdot 80 = 1 0^{- \frac{1}{5}} \cdot 80

Simplify

1 0^{- \frac{1}{5}} \cdot 80 : 8 \cdot 1 0^{\frac{4}{5}}

x = 8 \cdot 1 0^{\frac{4}{5}}

Verify Solutions:

x = 8 \cdot 1 0^{\frac{4}{5}}

True

The solution is

x = 8 \cdot 1 0^{\frac{4}{5}}

ln (x^{2} + 6) - ln (x - 2) = ln (x + 1)

lo g_{10} (n) = 1.0043

lo g_{10} (x) + lo g_{10} (7) = lo g_{10} (4)

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

u, lo g_{u} (\frac{15}{16}) = v

What is the answer to -4=20*log_{10}(x/(80)) ?
The answer to -4=20*log_{10}(x/(80)) is x=8*10^{4/5}
Solve for x: -4=20*log_{10}(x/(80))
The solution is x=8*10^{4/5}