What is the answer to 16^r*64^{3-3r}=64 ?

The answer to 16^r*64^{3-3r}=64 is r= 6/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16^r*64^{3-3r}=64

1 6^{r} \cdot 6 4^{3 - 3 r} = 64

r = \frac{6}{7}

Decimal Notation

r = 0.85714 \dots

Solution steps

1 6^{r} \cdot 6 4^{3 - 3 r} = 64

Apply exponent rules

2 r + 3 (3 - 3 r) = 3

Solve

2 r + 3 (3 - 3 r) = 3 : r = \frac{6}{7}

r = \frac{6}{7}

y, 2^{2 y + 1} = x

2^{3 x - 3} = 3 2^{2 x + 5}

x, 121 = 2^{x}

2 e^{3 x} = 7

2^{3 x} = 0. 5^{3 x + 2}

What is the answer to 16^r*64^{3-3r}=64 ?
The answer to 16^r*64^{3-3r}=64 is r= 6/7
Solve for r: 16^r*64^{3-3r}=64
The solution is r= 6/7