en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-6ln(3000-t)}

Solution

simplify

e^{- 6 l n (3000 - t)}

Solution

\frac{1}{( - t + 3000 ) ^{6}}

Solution steps

e^{- 6 l n (3000 - t)}

Apply exponent rule:

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

= \frac{1}{e ^{6 l n (- t + 3000)}}

e^{6 l n (3000 - t)} = (3000 - t)^{6}

= \frac{1}{( 3000 - t ) ^{6}}

Popular Examples

simplify (2^n)/(5^n)simplify

\frac{2 ^{n}}{5 ^{n}}

simplify (2.4x10^5)(5.2x10^3)simplify

(2.4 x 1 0^{5}) (5.2 x 1 0^{3})

simplify 6(4/3 pi(sqrt(15))^3)simplify

6 (\frac{4}{3} π (15)^{3})

simplify sqrt(10-x)*sqrt(x+12)simplify

10 - x \cdot x + 12

simplify 4*4.4627*10^{-6}simplify

4 \cdot 4.4627 \cdot 1 0^{- 6}

Frequently Asked Questions (FAQ)

What is e^{-6ln(3000-t)} ?
The solution to e^{-6ln(3000-t)} is 1/((-t+3000)^6)