What is the answer to -35.5=10log_{10}(x/1) ?

The answer to -35.5=10log_{10}(x/1) is x= 1/(10^{3.55)}

Solve for x: -35.5=10log_{10}(x/1)

The solution is x= 1/(10^{3.55)}

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- 35.5 = 10 lo g_{10} (\frac{x}{1})

x = \frac{1}{1 0 ^{3.55}}

Decimal Notation

x = 0.00028 \dots

Solution steps

- 35.5 = 10 lo g_{10} (\frac{x}{1})

Switch sides

10 lo g_{10} (\frac{x}{1}) = - 35.5

Divide both sides by

10

lo g_{10} (\frac{x}{1}) = - 3.55

Apply log rules

x = \frac{1}{1 0 ^{3.55}}

Verify Solutions:

x = \frac{1}{1 0 ^{3.55}}

True

The solution is

x = \frac{1}{1 0 ^{3.55}}

lo g_{10} (2 + x) = 1

lo g_{4} (5 x + 7) - lo g_{4} (x - 3) = 2

lo g_{10} (x + 2) = 0

lo g_{3} (x) + 2 = lo g_{3} (18)

0.027 \cdot 60 = - ln (1 - x)

What is the answer to -35.5=10log_{10}(x/1) ?
The answer to -35.5=10log_{10}(x/1) is x= 1/(10^{3.55)}
Solve for x: -35.5=10log_{10}(x/1)
The solution is x= 1/(10^{3.55)}