What is the answer to log_{sqrt(x)}(9)=2 ?

The answer to log_{sqrt(x)}(9)=2 is x=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{sqrt(x)}(9)=2

lo g_{x} (9) = 2

x = 9

Solution steps

lo g_{x} (9) = 2

Apply log rules

\frac{1}{lo g _{9} ( x )} = 2

Multiply both sides by

lo g_{9} (x)

\frac{1}{lo g _{9} ( x )} lo g_{9} (x) = 2 lo g_{9} (x)

Simplify

1 = 2 lo g_{9} (x)

Switch sides

2 lo g_{9} (x) = 1

Divide both sides by

2

lo g_{9} (x) = \frac{1}{2}

Apply log rules

x = 3

Solve

x = 3 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

lo g_{2} (5 \cdot x) = 10

ln (b x) = - 1

lo g_{5} (4 x + 5) - lo g_{5} (x) = 1

lo g_{10} (2 p) = 2 lo g_{10} (p)

x, lo g_{3} (x - 4) = 2

What is the answer to log_{sqrt(x)}(9)=2 ?
The answer to log_{sqrt(x)}(9)=2 is x=9
Solve for x: log_{sqrt(x)}(9)=2
The solution is x=9