What is the answer to 0.2=0.99^x ?

The answer to 0.2=0.99^x is x=(ln(0.2))/(ln(0.99))

Solve for x: 0.2=0.99^x

The solution is x=(ln(0.2))/(ln(0.99))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0.2 = 0.9 9^{x}

x = \frac{ln ( 0.2 )}{ln ( 0.99 )}

Decimal Notation

x = 160.13772 \dots

Solution steps

0.2 = 0.9 9^{x}

Apply exponent rules

ln (0.2) = x ln (0.99)

Solve

ln (0.2) = x ln (0.99) : x = \frac{ln ( 0.2 )}{ln ( 0.99 )}

x = \frac{ln ( 0.2 )}{ln ( 0.99 )}

25 (10)^{2 t} = 208

6 e^{4 x} - 2 = 3

5^{3 x} = 2 5^{x - 1}

3 \cdot 7^{x} = 10.48

2^{2 x} - 2^{x + 1} + 1 = 0

What is the answer to 0.2=0.99^x ?
The answer to 0.2=0.99^x is x=(ln(0.2))/(ln(0.99))
Solve for x: 0.2=0.99^x
The solution is x=(ln(0.2))/(ln(0.99))