What is the answer to 1/(4^x)=sqrt(8) ?

The answer to 1/(4^x)=sqrt(8) is x=-3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(4^x)=sqrt(8)

\frac{1}{4 ^{x}} = 8

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

\frac{1}{4 ^{x}} = 8

Apply exponent rules

- 2 x = \frac{3}{2}

Solve

- 2 x = \frac{3}{2} : x = - \frac{3}{4}

x = - \frac{3}{4}

Verify Solutions:

x = - \frac{3}{4}

True

The solution is

x = - \frac{3}{4}

7^{5 x - 4} = 21

t = e^{λ (t - 1)}

c, 1 = e^{e (0) + c}

2 e^{x} = 5 e^{x} + 12

t, 5^{t} = 7