What is the answer to 81^{2^{x+7}}=2^{8^{x-13}} ?

The answer to 81^{2^{x+7}}=2^{8^{x-13}} is x=(46ln(2)+ln(4ln(3))-ln(ln(2)))/(2ln(2))

Solve for x: 81^{2^{x+7}}=2^{8^{x-13}}

The solution is x=(46ln(2)+ln(4ln(3))-ln(ln(2)))/(2ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8 1^{2^{x + 7}} = 2^{8^{x - 13}}

x = \frac{46 ln ( 2 ) + ln ( 4 ln ( 3 ) ) - ln ( ln ( 2 ) )}{2 ln ( 2 )}

Decimal Notation

x = 24.33222 \dots

Solution steps

8 1^{2^{x + 7}} = 2^{8^{x - 13}}

Apply exponent rules

(x + 7) ln (2) + ln (ln (81)) = 3 (x - 13) ln (2) + ln (ln (2))

Solve

(x + 7) ln (2) + ln (ln (81)) = 3 (x - 13) ln (2) + ln (ln (2)) : x = \frac{46 ln ( 2 ) + ln ( 4 ln ( 3 ) ) - ln ( ln ( 2 ) )}{2 ln ( 2 )}

x = \frac{46 ln ( 2 ) + ln ( 4 ln ( 3 ) ) - ln ( ln ( 2 ) )}{2 ln ( 2 )}

1 5^{x} = 20

x^{x} = x^{2 x - 1}

2200 (1.04)^{x} = 8000

5 - e^{x} = 0

9 e^{3 x} = 27

What is the answer to 81^{2^{x+7}}=2^{8^{x-13}} ?
The answer to 81^{2^{x+7}}=2^{8^{x-13}} is x=(46ln(2)+ln(4ln(3))-ln(ln(2)))/(2ln(2))
Solve for x: 81^{2^{x+7}}=2^{8^{x-13}}
The solution is x=(46ln(2)+ln(4ln(3))-ln(ln(2)))/(2ln(2))