What is the answer to solvefor a,log_{a}(a)=X ?

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

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solvefor a,log_{a}(a)=X

solve for

a, lo g_{a} (a) = X

No Solution for a \in R

Solution steps

lo g_{a} (a) = X

Apply log rules

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

Multiply both sides by

ln (a)

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

Simplify

ln (a) = X ln (a)

Move

X ln (a)

to the left side

ln (a) - X ln (a) = 0

Factor

ln (a) - X ln (a) : ln (a) (1 - X)

ln (a) (1 - 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

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

lo g_{10} (\frac{L}{15}) = 1

lo g_{10} (8) - lo g_{10} (x) = 1

x, ln (x + 7) + ln (x - 7) = 0

7 = 3 lo g_{10} (8 t + 10)

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