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Popular >

-log_{e}(1-3x)=1

Solution

- lo g_{e} (1 - 3 x) = 1

Solution

x = \frac{- 1 + e}{3 e}

+1

Decimal Notation

x = 0.21070 \dots

Solution steps

- lo g_{e} (1 - 3 x) = 1

Divide both sides by

- 1

lo g_{e} (1 - 3 x) = - 1

Apply log rules

1 - 3 x = \frac{1}{e}

Solve

1 - 3 x = \frac{1}{e} : x = \frac{- 1 + e}{3 e}

x = \frac{- 1 + e}{3 e}

Verify Solutions:

x = \frac{- 1 + e}{3 e}

True

The solution is

x = \frac{- 1 + e}{3 e}

Popular Examples

6ln(4x-9)+14=26

6 ln (4 x - 9) + 14 = 26

log_{3}(x+1)=log_{3}(2x-3)

lo g_{3} (x + 1) = lo g_{3} (2 x - 3)

(ln(x))^2+2(ln(x))=0

(ln (x))^{2} + 2 (ln (x)) = 0

log_{2x^2}(x^3+1)=1

lo g_{2 x^{2}} (x^{3} + 1) = 1

log_{3}((x+1)/(2x+1))=2

lo g_{3} (\frac{x + 1}{2 x + 1}) = 2

Frequently Asked Questions (FAQ)

What is the answer to -log_{e}(1-3x)=1 ?
The answer to -log_{e}(1-3x)=1 is x=(-1+e)/(3e)