What is the answer to 22=200*(0.8)^t ?

The answer to 22=200*(0.8)^t is t=(ln(11/100))/(ln(0.8))

Solve for t: 22=200*(0.8)^t

The solution is t=(ln(11/100))/(ln(0.8))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

22 = 200 \cdot (0.8)^{t}

t = \frac{ln ( \frac{11}{100} )}{ln ( 0.8 )}

Decimal Notation

t = 9.89172 \dots

Solution steps

22 = 200 (0.8)^{t}

Switch sides

200 \cdot 0. 8^{t} = 22

Divide both sides by

200

0. 8^{t} = \frac{11}{100}

Apply exponent rules

t ln (0.8) = ln (\frac{11}{100})

Solve

t ln (0.8) = ln (\frac{11}{100}) : t = \frac{ln ( \frac{11}{100} )}{ln ( 0.8 )}

t = \frac{ln ( \frac{11}{100} )}{ln ( 0.8 )}

4^{x + 1} \cdot (- 1) = - 4^{x + 1}

\frac{2 7 ^{4} 9 ^{- 6}}{81} = 3^{x}

2^{x + 2} + 2^{x - 2} + 2^{x} = 42

9^{x} = 5

8 (8^{2 x}) + 23 (8^{x}) - 3 = 0

What is the answer to 22=200*(0.8)^t ?
The answer to 22=200*(0.8)^t is t=(ln(11/100))/(ln(0.8))
Solve for t: 22=200*(0.8)^t
The solution is t=(ln(11/100))/(ln(0.8))