What is the answer to -1+log_{3}(-5x+x^2-62)=3 ?

The answer to -1+log_{3}(-5x+x^2-62)=3 is x=(5+sqrt(597))/2 ,x=(5-sqrt(597))/2

Solve for x: -1+log_{3}(-5x+x^2-62)=3

The solution is x=(5+sqrt(597))/2 ,x=(5-sqrt(597))/2

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- 1 + lo g_{3} (- 5 x + x^{2} - 62) = 3

x = \frac{5 + 597}{2}, x = \frac{5 - 597}{2}

Decimal Notation

x = 14.71679 \dots, x = - 9.71679 \dots

Solution steps

- 1 + lo g_{3} (- 5 x + x^{2} - 62) = 3

Move

1

to the right side

lo g_{3} (- 5 x + x^{2} - 62) = 4

Apply log rules

- 5 x + x^{2} - 62 = 81

Solve

- 5 x + x^{2} - 62 = 81 : x = \frac{5 + 597}{2}, x = \frac{5 - 597}{2}

x = \frac{5 + 597}{2}, x = \frac{5 - 597}{2}

Verify Solutions:

x = \frac{5 + 597}{2}

True

, x = \frac{5 - 597}{2}

True

The solutions are

x = \frac{5 + 597}{2}, x = \frac{5 - 597}{2}

ln (t) = 1

10 \cdot lo g_{10} (x) = 46.7

b, c = lo g_{35} (b)

lo g_{5} (4 x - 6) = 3

9.133 = 1.38 \cdot 1 0^{- 23} ln (x)

What is the answer to -1+log_{3}(-5x+x^2-62)=3 ?
The answer to -1+log_{3}(-5x+x^2-62)=3 is x=(5+sqrt(597))/2 ,x=(5-sqrt(597))/2
Solve for x: -1+log_{3}(-5x+x^2-62)=3
The solution is x=(5+sqrt(597))/2 ,x=(5-sqrt(597))/2