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

The answer to log_{sqrt(a)}(a)=2 is 0 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{sqrt(a)}(a)=2

lo g_{a} (a) = 2

0 < a < 1 or a > 1

Solution steps

lo g_{a} (a) = 2

Apply log rules

\frac{ln ( a )}{ln ( a )} = 2

Multiply both sides by

ln (a)

\frac{ln ( a )}{ln ( a )} ln (a) = 2 ln (a)

Simplify

ln (a) = 2 ln (a)

Apply log rules

ln (a) = 2 \cdot \frac{1}{2} ln (a)

Rewrite the equation with

ln (a) = u

u = 2 \cdot \frac{1}{2} u

Solve

u = 2 \cdot \frac{1}{2} u :

True for all

u

True for all u

Verify Solutions:

0 < a < 1

True

, a > 1

True

The solution is

0 < a < 1 or a > 1

lo g_{y} (2) = 8

ln (x + 1) - ln (x - 5) = 3

0 = - \frac{ln ( - 3 ( 0 ) ^{2} + c )}{2}

lo g_{5} (2 (x^{3} + 5)) = 2

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

What is the answer to log_{sqrt(a)}(a)=2 ?
The answer to log_{sqrt(a)}(a)=2 is 0<a<1\lor a>1
Solve for a: log_{sqrt(a)}(a)=2
The solution is 0<a<1\lor a>1