What is the answer to 8^{3a}=16^{a+3} ?

The answer to 8^{3a}=16^{a+3} is a= 12/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8^{3a}=16^{a+3}

8^{3 a} = 1 6^{a + 3}

a = \frac{12}{5}

Decimal Notation

a = 2.4

Solution steps

8^{3 a} = 1 6^{a + 3}

Apply exponent rules

9 a = 4 (a + 3)

Solve

9 a = 4 (a + 3) : a = \frac{12}{5}

a = \frac{12}{5}

2 5^{t} + 5^{t + 1} = 24

9^{1 - 2 x} = 81

9^{2 x} = \frac{1}{18}

5^{2 x + 3} = 60

What is the answer to 8^{3a}=16^{a+3} ?
The answer to 8^{3a}=16^{a+3} is a= 12/5
Solve for a: 8^{3a}=16^{a+3}
The solution is a= 12/5