What is the answer to 5=ln(-5x+3) ?

The answer to 5=ln(-5x+3) is x=-(e^5-3)/5

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5=ln(-5x+3)

5 = ln (- 5 x + 3)

x = - \frac{e ^{5} - 3}{5}

Decimal Notation

x = - 29.08263 \dots

Solution steps

5 = ln (- 5 x + 3)

Apply log rules

e^{5} = - 5 x + 3

Solve

e^{5} = - 5 x + 3 : x = - \frac{e ^{5} - 3}{5}

x = - \frac{e ^{5} - 3}{5}

15.328 = - 1.451 ln (x) + 24.036

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

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

lo g_{10} (x) = 0.2

3 lo g_{2} (x + 4) - 5 = 10