What is the answer to ln(1/(sqrt(x)))=4 ?

The answer to ln(1/(sqrt(x)))=4 is x= 1/(e^8)

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ln(1/(sqrt(x)))=4

ln (\frac{1}{x}) = 4

x = \frac{1}{e ^{8}}

Solution steps

ln (\frac{1}{x}) = 4

Apply log rules

\frac{1}{x} = e^{4}

Multiply both sides by

x

\frac{1}{x} x = e^{4} x

Simplify

1 = e^{4} x

Solve

1 = e^{4} x : x = \frac{1}{e ^{8}}

x = \frac{1}{e ^{8}}

Verify Solutions:

x = \frac{1}{e ^{8}}

True

The solution is

x = \frac{1}{e ^{8}}

lo g_{10} (x) = 0.58

lo g_{10} (x) 4 = 2

50 = 10 \cdot lo g_{10} (x)

- 2 = lo g_{10} (9 x + 1)

lo g_{10} (x) = 0.24

What is the answer to ln(1/(sqrt(x)))=4 ?
The answer to ln(1/(sqrt(x)))=4 is x= 1/(e^8)
Solve for x: ln(1/(sqrt(x)))=4
The solution is x= 1/(e^8)