What is the answer to 13^{2x}=4 ?

The answer to 13^{2x}=4 is x=(ln(2))/(ln(13))

Solve for x: 13^{2x}=4

The solution is x=(ln(2))/(ln(13))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1 3^{2 x} = 4

x = \frac{ln ( 2 )}{ln ( 13 )}

Decimal Notation

x = 0.27023 \dots

Solution steps

1 3^{2 x} = 4

Apply exponent rules

2 x ln (13) = ln (4)

Solve

2 x ln (13) = ln (4) : x = \frac{ln ( 2 )}{ln ( 13 )}

x = \frac{ln ( 2 )}{ln ( 13 )}

3^{2 x} = 10 (3^{x}) - 9

100 e^{- 0.6 x} = 20

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

0.2 = 0.9 9^{x}

25 (10)^{2 t} = 208