What is the answer to 0.7=a-(a-1)e^{-ln(3)} ?

The answer to 0.7=a-(a-1)e^{-ln(3)} is a=(1.1)/2

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0.7=a-(a-1)e^{-ln(3)}

0.7 = a - (a - 1) e^{- l n (3)}

a = \frac{1.1}{2}

Decimal Notation

a = 0.55

Solution steps

0.7 = a - (a - 1) e^{- l n (3)}

Switch sides

a - (a - 1) e^{- l n (3)} = 0.7

Simplify

a - (a - 1) e^{- l n (3)} : a - \frac{a - 1}{e ^{l n (3)}}

a - \frac{a - 1}{e ^{l n (3)}} = 0.7

Multiply both sides by

e^{l n (3)}

a e^{l n (3)} - (a - 1) = 0.7 e^{l n (3)}

Expand

a e^{l n (3)} - (a - 1) : e^{l n (3)} a - a + 1

e^{l n (3)} a - a + 1 = 0.7 e^{l n (3)}

Move

1

to the right side

e^{l n (3)} a - a = 1.1

Factor

e^{l n (3)} a - a : (e^{l n (3)} - 1) a

(e^{l n (3)} - 1) a = 1.1

Divide both sides by

e^{l n (3)} - 1

a = \frac{1.1}{2}

lo g_{7} (4)

14 > 1 - 5 (x - 2)

w^{2} + w - 56

x - 5 < 2 x - 6

∣ x - 1 ∣ < 5

What is the answer to 0.7=a-(a-1)e^{-ln(3)} ?
The answer to 0.7=a-(a-1)e^{-ln(3)} is a=(1.1)/2