What is the answer to 16^{r-2}=64^{r+2} ?

The answer to 16^{r-2}=64^{r+2} is r=-10

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16^{r-2}=64^{r+2}

1 6^{r - 2} = 6 4^{r + 2}

r = - 10

Solution steps

1 6^{r - 2} = 6 4^{r + 2}

Apply exponent rules

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

Solve

2 (r - 2) = 3 (r + 2) : r = - 10

r = - 10

4 e^{2 x} - 16 = 0

e^{2 x} + 2 e^{x} - 24 = 0

5^{3 x + 1} = - 5

3^{2 x} = 9^{5 x - 4}

4^{x + 1} - 9 (2)^{x} = - 2

What is the answer to 16^{r-2}=64^{r+2} ?
The answer to 16^{r-2}=64^{r+2} is r=-10
Solve for r: 16^{r-2}=64^{r+2}
The solution is r=-10