What is the answer to 34=-13.5+14.16\times ln(x) ?

The answer to 34=-13.5+14.16\times ln(x) is x=e^{2375/708}

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34=-13.5+14.16\times ln(x)

34 = - 13.5 + 14.16 \cdot ln (x)

x = e^{\frac{2375}{708}}

Decimal

x = 28.63185 \dots

Solution steps

34 = - 13.5 + 14.16 ln (x)

Switch sides

- 13.5 + 14.16 ln (x) = 34

Multiply both sides by

100

- 1350 + 1416 ln (x) = 3400

Move

1350

to the right side

1416 ln (x) = 4750

Divide both sides by

1416

ln (x) = \frac{2375}{708}

Apply log rules

x = e^{\frac{2375}{708}}

Verify Solutions:

x = e^{\frac{2375}{708}}

True

The solution is

x = e^{\frac{2375}{708}}

lo g_{x + 1} (5 x - 1) = 2

lo g_{4} (x + 12) = 2

lo g_{10} ((x - 1)^{2}) = 0

lo g_{- 2 x - 4} (2 x^{2} - 14) = 2

x, 3.5 = 3.75 + lo g_{10} (x)

What is the answer to 34=-13.5+14.16\times ln(x) ?
The answer to 34=-13.5+14.16\times ln(x) is x=e^{2375/708}
Solve for x: 34=-13.5+14.16\times ln(x)
The solution is x=e^{2375/708}