What is the answer to log_{10}(1/x)=6.51 ?

The answer to log_{10}(1/x)=6.51 is x= 1/(10^{6.51)}

Solve for x: log_{10}(1/x)=6.51

The solution is x= 1/(10^{6.51)}

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lo g_{10} (\frac{1}{x}) = 6.51

x = \frac{1}{1 0 ^{6.51}}

Decimal Notation

x = 3.0903 E - 7

Solution steps

lo g_{10} (\frac{1}{x}) = 6.51

Apply log rules

\frac{1}{x} = 1 0^{6.51}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{6.51} x

Simplify

1 = 1 0^{6.51} x

Solve

1 = 1 0^{6.51} x : x = \frac{1}{1 0 ^{6.51}}

x = \frac{1}{1 0 ^{6.51}}

Verify Solutions:

x = \frac{1}{1 0 ^{6.51}}

True

The solution is

x = \frac{1}{1 0 ^{6.51}}

lo g_{c} (t) = 9

u, - ln (1 + u) = ln (x)

3 ln (8 x + 8) + 11 = 20

2 lo g_{3} (x) = 4

lo g_{10} (\frac{x}{4}) = - 2

What is the answer to log_{10}(1/x)=6.51 ?
The answer to log_{10}(1/x)=6.51 is x= 1/(10^{6.51)}
Solve for x: log_{10}(1/x)=6.51
The solution is x= 1/(10^{6.51)}