What is e^{-(-ln|900-x^2|+2ln(30))} ?

The solution to e^{-(-ln|900-x^2|+2ln(30))} is (|-x^2+900|)/(900)

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simplify e^{-(-ln|900-x^2|+2ln(30))}

simplify

e^{- (- l n ∣ 900 - x^{2} ∣ + 2 l n (30))}

\frac{- x ^{2} + 900}{900}

Solution steps

e^{- (- l n ∣ 900 - x^{2} ∣ + 2 l n (30))}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{(- l n ∣ 900 - x^{2} ∣ + 2 l n (30))}}

Remove parentheses:

(- a) = - a

= \frac{1}{e ^{- l n ∣ 900 - x^{2} ∣ + 2 l n (30)}}

e^{- l n ∣ 900 - x^{2} ∣ + 2 l n (30)} = 3 0^{2} 900 - x^{2}^{- 1}

= \frac{1}{3 0 ^{2} ∣ - x ^{2} + 900 ∣ ^{- 1}}

Multiply

900 - x^{2}^{- 1} \cdot 3 0^{2} : \frac{900}{∣ 900 - x ^{2} ∣}

= \frac{1}{\frac{900}{∣ 900 - x ^{2} ∣}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{900 - x ^{2}}{900}

(a^{3} + 2 a^{2} + 4 a) res t a r (2 a + 4 a^{2} - 2 a^{3})

a b^{x} \cdot c d^{x}

(4 a) \cdot a^{3}

(5.2 \cdot 1 0^{- 7}) (4 \cdot 1 0^{- 8})

\frac{4 e ^{\frac{π}{4}}}{2} \cdot e^{- \frac{π}{4}}

What is e^{-(-ln|900-x^2|+2ln(30))} ?
The solution to e^{-(-ln|900-x^2|+2ln(30))} is (|-x^2+900|)/(900)