What is the answer to 15.328=-1.451ln(x)+24.036 ?

The answer to 15.328=-1.451ln(x)+24.036 is x=e^{8708/1451}

Solve for x: 15.328=-1.451ln(x)+24.036

The solution is x=e^{8708/1451}

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15.328 = - 1.451 ln (x) + 24.036

x = e^{\frac{8708}{1451}}

Decimal Notation

x = 403.98524 \dots

Solution steps

15.328 = - 1.451 ln (x) + 24.036

Switch sides

- 1.451 ln (x) + 24.036 = 15.328

Multiply both sides by

1000

- 1451 ln (x) + 24036 = 15328

Move

24036

to the right side

- 1451 ln (x) = - 8708

Divide both sides by

- 1451

ln (x) = \frac{8708}{1451}

Apply log rules

x = e^{\frac{8708}{1451}}

Verify Solutions:

x = e^{\frac{8708}{1451}}

True

The solution is

x = e^{\frac{8708}{1451}}

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

a, x = lo g_{10} (a)

What is the answer to 15.328=-1.451ln(x)+24.036 ?
The answer to 15.328=-1.451ln(x)+24.036 is x=e^{8708/1451}
Solve for x: 15.328=-1.451ln(x)+24.036
The solution is x=e^{8708/1451}