What is the answer to 29.95=-42.4ln(a)+0.52 ?

The answer to 29.95=-42.4ln(a)+0.52 is a= 1/(e^{2943/4240)}

Solve for a: 29.95=-42.4ln(a)+0.52

The solution is a= 1/(e^{2943/4240)}

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29.95 = - 42.4 ln (a) + 0.52

a = \frac{1}{e ^{\frac{2943}{4240}}}

Solution steps

29.95 = - 42.4 ln (a) + 0.52

Switch sides

- 42.4 ln (a) + 0.52 = 29.95

Multiply both sides by

100

- 4240 ln (a) + 52 = 2995

Move

52

to the right side

- 4240 ln (a) = 2943

Divide both sides by

- 4240

ln (a) = - \frac{2943}{4240}

Apply log rules

a = \frac{1}{e ^{\frac{2943}{4240}}}

Verify Solutions:

a = \frac{1}{e ^{\frac{2943}{4240}}}

True

The solution is

a = \frac{1}{e ^{\frac{2943}{4240}}}

ln (x + 2) - ln (6 - x) = ln (x - 1)

lo g_{2} (x^{9}) = - 9

lo g_{4 x} (2 x + 5) = \frac{8}{5}

- 9 lo g_{2} (8 - 9 x) - 5 = - 41

lo g_{5} (x^{2} - 24 x) = 2

What is the answer to 29.95=-42.4ln(a)+0.52 ?
The answer to 29.95=-42.4ln(a)+0.52 is a= 1/(e^{2943/4240)}
Solve for a: 29.95=-42.4ln(a)+0.52
The solution is a= 1/(e^{2943/4240)}