What is the answer to 5^{3x+9}=8 ?

The answer to 5^{3x+9}=8 is x=(3ln(2)-9ln(5))/(3ln(5))

Solve for x: 5^{3x+9}=8

The solution is x=(3ln(2)-9ln(5))/(3ln(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{3 x + 9} = 8

x = \frac{3 ln ( 2 ) - 9 ln ( 5 )}{3 ln ( 5 )}

Decimal Notation

x = - 2.56932 \dots

Solution steps

5^{3 x + 9} = 8

Apply exponent rules

(3 x + 9) ln (5) = ln (8)

Solve

(3 x + 9) ln (5) = ln (8) : x = \frac{3 ln ( 2 ) - 9 ln ( 5 )}{3 ln ( 5 )}

x = \frac{3 ln ( 2 ) - 9 ln ( 5 )}{3 ln ( 5 )}

e^{- 2 x^{2}} = 0

6^{2 x - 3} = 7776

10 = 2^{(0.5 x)}

5^{2 x} = 5^{x} + 5

7^{x} = 8^{x - 1}

What is the answer to 5^{3x+9}=8 ?
The answer to 5^{3x+9}=8 is x=(3ln(2)-9ln(5))/(3ln(5))
Solve for x: 5^{3x+9}=8
The solution is x=(3ln(2)-9ln(5))/(3ln(5))