What is the answer to 12=20log_{10}(x/(0.7)) ?

The answer to 12=20log_{10}(x/(0.7)) is x=10^{3/5}*0.7

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12=20log_{10}(x/(0.7))

12 = 20 lo g_{10} (\frac{x}{0.7})

x = 1 0^{\frac{3}{5}} \cdot 0.7

Decimal

x = 2.78675 \dots

Solution steps

12 = 20 lo g_{10} (\frac{x}{0.7})

Switch sides

20 lo g_{10} (\frac{x}{0.7}) = 12

Divide both sides by

20

lo g_{10} (\frac{x}{0.7}) = \frac{3}{5}

Apply log rules

\frac{x}{0.7} = 1 0^{\frac{3}{5}}

Multiply both sides by

0.7

\frac{x}{0.7} \cdot 0.7 = 1 0^{\frac{3}{5}} \cdot 0.7

Simplify

x = 1 0^{\frac{3}{5}} \cdot 0.7

Verify Solutions:

x = 1 0^{\frac{3}{5}} \cdot 0.7

True

The solution is

x = 1 0^{\frac{3}{5}} \cdot 0.7

lo g_{2} (4 - x) = 2

lo g_{3} (4 x + 8) - 7 = - 3

(ln (x) + 1) = 0

20 - ln (3 - x) = 0

ln (p) = 1205.92

What is the answer to 12=20log_{10}(x/(0.7)) ?
The answer to 12=20log_{10}(x/(0.7)) is x=10^{3/5}*0.7
Solve for x: 12=20log_{10}(x/(0.7))
The solution is x=10^{3/5}*0.7