What is the answer to log_{9}(81^x)=-2 ?

The answer to log_{9}(81^x)=-2 is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{9}(81^x)=-2

lo g_{9} (8 1^{x}) = - 2

x = - 1

Solution steps

lo g_{9} (8 1^{x}) = - 2

Rewrite the equation with

8 1^{x} = u

lo g_{9} (u) = - 2

Solve

lo g_{9} (u) = - 2 : u = \frac{1}{81}

u = \frac{1}{81}

Substitute back

u = 8 1^{x},

solve for

x

Solve

8 1^{x} = \frac{1}{81} : x = - 1

x = - 1

4^{2 x} = \frac{1}{32}

n, x^{n} + n = 0

x, 4^{x} = 8^{x - 1}

6 = 6^{x}

95 = 2 9^{x}