What is the answer to 3=5^x ?

The answer to 3=5^x is x=(ln(3))/(ln(5))

The solution is x=(ln(3))/(ln(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3=5^x

3 = 5^{x}

x = \frac{ln ( 3 )}{ln ( 5 )}

Decimal Notation

x = 0.68260 \dots

Solution steps

3 = 5^{x}

Apply exponent rules

ln (3) = x ln (5)

Solve

ln (3) = x ln (5) : x = \frac{ln ( 3 )}{ln ( 5 )}

x = \frac{ln ( 3 )}{ln ( 5 )}

x, 2^{x + 3^{y}} = 11

4^{x} = 256 - 24 (2^{x})

2^{x - 5} = 8

\frac{13}{12} = e^{8 x}