What is the answer to (2.1^{-8})^3=80.1^a ?

The answer to (2.1^{-8})^3=80.1^a is a=-(24ln(2.1))/(ln(80.1))

Solve for a: (2.1^{-8})^3=80.1^a

The solution is a=-(24ln(2.1))/(ln(80.1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2. 1^{- 8})^{3} = 80. 1^{a}

a = - \frac{24 ln ( 2.1 )}{ln ( 80.1 )}

Decimal Notation

a = - 4.06237 \dots

Solution steps

(2. 1^{- 8})^{3} = 80. 1^{a}

Apply exponent rules

- 8 \cdot 3 ln (2.1) = a ln (80.1)

Solve

- 8 \cdot 3 ln (2.1) = a ln (80.1) : a = - \frac{24 ln ( 2.1 )}{ln ( 80.1 )}

a = - \frac{24 ln ( 2.1 )}{ln ( 80.1 )}

9^{3 x} = (\frac{1}{3})^{2 x - 1}

2^{x} = \frac{2}{3}

8^{9 x + 1} = 2^{x^{2} + 29 x}

x, y = {e^{- 2 x}}

p, \frac{2 ^{x - 2} \cdot 1}{2} = p (x)^{x - 3}

What is the answer to (2.1^{-8})^3=80.1^a ?
The answer to (2.1^{-8})^3=80.1^a is a=-(24ln(2.1))/(ln(80.1))
Solve for a: (2.1^{-8})^3=80.1^a
The solution is a=-(24ln(2.1))/(ln(80.1))