What is the answer to 0.09=0.5^n ?

The answer to 0.09=0.5^n is n=(ln(0.09))/(ln(0.5))

Solve for n: 0.09=0.5^n

The solution is n=(ln(0.09))/(ln(0.5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0.09 = 0. 5^{n}

n = \frac{ln ( 0.09 )}{ln ( 0.5 )}

Decimal Notation

n = 3.47393 \dots

Solution steps

0.09 = 0. 5^{n}

Apply exponent rules

ln (0.09) = n ln (0.5)

Solve

ln (0.09) = n ln (0.5) : n = \frac{ln ( 0.09 )}{ln ( 0.5 )}

n = \frac{ln ( 0.09 )}{ln ( 0.5 )}

2^{x - 1} = 7

1 0^{2 x + 1} = 4 \cdot 1 0^{x}

2^{x} + 2^{x} = 4

4^{5 - 3 x} = \frac{1}{8 ^{x + 1}}

4 \cdot 3^{x - 2} - 1 = 19

What is the answer to 0.09=0.5^n ?
The answer to 0.09=0.5^n is n=(ln(0.09))/(ln(0.5))
Solve for n: 0.09=0.5^n
The solution is n=(ln(0.09))/(ln(0.5))