What is the answer to log_{x-3}(2x^2-11x+16)=2 ?

The answer to log_{x-3}(2x^2-11x+16)=2 is No Solution for x\in\mathbb{R}

Solve for x: log_{x-3}(2x^2-11x+16)=2

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

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lo g_{x - 3} (2 x^{2} - 11 x + 16) = 2

No Solution for x \in R

Solution steps

lo g_{x - 3} (2 x^{2} - 11 x + 16) = 2

Apply log rules

\frac{ln ( 2 x ^{2} - 11 x + 16 )}{ln ( x - 3 )} = 2

Multiply both sides by

ln (x - 3)

\frac{ln ( 2 x ^{2} - 11 x + 16 )}{ln ( x - 3 )} ln (x - 3) = 2 ln (x - 3)

Simplify

ln (2 x^{2} - 11 x + 16) = 2 ln (x - 3)

Apply log rules

2 x^{2} - 11 x + 16 = (x - 3)^{2}

Solve

2 x^{2} - 11 x + 16 = (x - 3)^{2} :

No Solution for

x \in R

No Solution for x \in R

lo g_{10} (x) (343) = 3

x, 0.22 = ln (x)

lo g_{10} (x^{4}) = \frac{1}{4}

6 ln (x) = 7.2

\frac{9}{7} lo g_{3} (x) = 10

What is the answer to log_{x-3}(2x^2-11x+16)=2 ?
The answer to log_{x-3}(2x^2-11x+16)=2 is No Solution for x\in\mathbb{R}
Solve for x: log_{x-3}(2x^2-11x+16)=2
The solution is No Solution for x\in\mathbb{R}