What is the answer to 3.4=-log_{10}(x) ?

The answer to 3.4=-log_{10}(x) is x= 1/(10^{3.4)}

Solve for x: 3.4=-log_{10}(x)

The solution is x= 1/(10^{3.4)}

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3.4 = - lo g_{10} (x)

x = \frac{1}{1 0 ^{3.4}}

Decimal Notation

x = 0.00039 \dots

Solution steps

3.4 = - lo g_{10} (x)

Move

lo g_{10} (x)

to the left side

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

Move

3.4

to the right side

lo g_{10} (x) = - 3.4

Apply log rules

x = \frac{1}{1 0 ^{3.4}}

Verify Solutions:

x = \frac{1}{1 0 ^{3.4}}

True

The solution is

x = \frac{1}{1 0 ^{3.4}}

lo g_{5} (x + 8) = 1 - lo g_{5} (x + 4)

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

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

lo g_{3} (x - 6) + lo g_{3} (x) = 3

4.76 = - lo g_{10} (x)

What is the answer to 3.4=-log_{10}(x) ?
The answer to 3.4=-log_{10}(x) is x= 1/(10^{3.4)}
Solve for x: 3.4=-log_{10}(x)
The solution is x= 1/(10^{3.4)}