What is the answer to 2^{x-5}=6^x ?

The answer to 2^{x-5}=6^x is x=-(5ln(2))/(ln(3))

Solve for x: 2^{x-5}=6^x

The solution is x=-(5ln(2))/(ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^{x - 5} = 6^{x}

x = - \frac{5 ln ( 2 )}{ln ( 3 )}

Decimal Notation

x = - 3.15464 \dots

Solution steps

2^{x - 5} = 6^{x}

Apply exponent rules

(x - 5) ln (2) = x ln (6)

Solve

(x - 5) ln (2) = x ln (6) : x = - \frac{5 ln ( 2 )}{ln ( 3 )}

x = - \frac{5 ln ( 2 )}{ln ( 3 )}

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

133 1^{x + 2} = \frac{1}{121}

51 = 3^{x}

1 0^{x} - 23 = 9977

6^{v} = 216

What is the answer to 2^{x-5}=6^x ?
The answer to 2^{x-5}=6^x is x=-(5ln(2))/(ln(3))
Solve for x: 2^{x-5}=6^x
The solution is x=-(5ln(2))/(ln(3))