What is the answer to 2^x=400 ?

The answer to 2^x=400 is x=(2ln(20))/(ln(2))

The solution is x=(2ln(20))/(ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^x=400

2^{x} = 400

x = \frac{2 ln ( 20 )}{ln ( 2 )}

Decimal Notation

x = 8.64385 \dots

Solution steps

2^{x} = 400

Apply exponent rules

x ln (2) = ln (400)

Solve

x ln (2) = ln (400) : x = \frac{2 ln ( 20 )}{ln ( 2 )}

x = \frac{2 ln ( 20 )}{ln ( 2 )}

0. 5^{x} = 1

5 (5^{2 x}) + 9 (5^{x}) - 2 = 0

a^{3 x} = b

12 = 1 0^{x + 5} - 7

1 2^{x} \cdot 1 2^{4} = 1 2^{8}