What is the answer to log_{x}(x^5+x-1)=5 ?

The answer to log_{x}(x^5+x-1)=5 is No Solution for x\in\mathbb{R}

Solve for x: log_{x}(x^5+x-1)=5

The solution is No Solution for x\in\mathbb{R}

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

No Solution for x \in R

Solution steps

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

Apply log rules

\frac{ln ( x ^{5} + x - 1 )}{ln ( x )} = 5

Multiply both sides by

ln (x)

\frac{ln ( x ^{5} + x - 1 )}{ln ( x )} ln (x) = 5 ln (x)

Simplify

ln (x^{5} + x - 1) = 5 ln (x)

Apply log rules

x^{5} + x - 1 = x^{5}

Solve

x^{5} + x - 1 = x^{5} : x = 1

x = 1

Verify Solutions:

x = 1

False

The solution is

No Solution for x \in R

ln (x (x + 3)^{2}) = 3

lo g_{3} (a) = - 5

4 ln (x) - 4 = 0

ln (\frac{x}{2}) + 1 = 0

x, ln (x) = - \frac{1}{2}

What is the answer to log_{x}(x^5+x-1)=5 ?
The answer to log_{x}(x^5+x-1)=5 is No Solution for x\in\mathbb{R}
Solve for x: log_{x}(x^5+x-1)=5
The solution is No Solution for x\in\mathbb{R}