What is the answer to 3.75=-log_{10}(x) ?

The answer to 3.75=-log_{10}(x) is x= 1/(10^{3.75)}

Solve for x: 3.75=-log_{10}(x)

The solution is x= 1/(10^{3.75)}

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3.75 = - lo g_{10} (x)

x = \frac{1}{1 0 ^{3.75}}

Decimal Notation

x = 0.00017 \dots

Solution steps

3.75 = - lo g_{10} (x)

Move

lo g_{10} (x)

to the left side

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

Move

3.75

to the right side

lo g_{10} (x) = - 3.75

Apply log rules

x = \frac{1}{1 0 ^{3.75}}

Verify Solutions:

x = \frac{1}{1 0 ^{3.75}}

True

The solution is

x = \frac{1}{1 0 ^{3.75}}

y, ln (y) = x + C

ln (7) + ln (2 - 4 x^{2}) = ln (14)

lo g_{10} (x) = 2.3147

2 ln (x - 3) + ln (x + 9) = 3 ln (x)

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

What is the answer to 3.75=-log_{10}(x) ?
The answer to 3.75=-log_{10}(x) is x= 1/(10^{3.75)}
Solve for x: 3.75=-log_{10}(x)
The solution is x= 1/(10^{3.75)}