What is the answer to solvefor a,log_{a}(a^6)=x ?

The answer to solvefor a,log_{a}(a^6)=x is No Solution for a\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor a,log_{a}(a^6)=x

solve for

a, lo g_{a} (a^{6}) = x

No Solution for a \in R

Solution steps

lo g_{a} (a^{6}) = x

Apply log rules

\frac{ln ( a )}{ln ( a )} = \frac{x}{6}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

ln (a) \cdot 6 = ln (a) x

Move

ln (a) x

to the left side

ln (a) \cdot 6 - ln (a) x = 0

Factor

ln (a) \cdot 6 - ln (a) x : ln (a) (6 - x)

ln (a) (6 - x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

ln (a) = 0

Apply log rules

a = 1

Verify Solutions:

a = 1

False

The solution is

No Solution for a \in R

3 g + 2 = 35

\frac{1}{2} a + \frac{1}{4} = \frac{5}{6}

y, - \frac{1}{3} y + 4 x = 3

- 9 x + 9 = - 9

y = - 2^{2} + 4

What is the answer to solvefor a,log_{a}(a^6)=x ?
The answer to solvefor a,log_{a}(a^6)=x is No Solution for a\in\mathbb{R}