What is the answer to 2log_{3}(x+15)-log_{3}(x)=4 ?

The answer to 2log_{3}(x+15)-log_{3}(x)=4 is x=(51+9sqrt(21))/2 ,x=(51-9sqrt(21))/2

Solve for x: 2log_{3}(x+15)-log_{3}(x)=4

The solution is x=(51+9sqrt(21))/2 ,x=(51-9sqrt(21))/2

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2 lo g_{3} (x + 15) - lo g_{3} (x) = 4

x = \frac{51 + 9 21}{2}, x = \frac{51 - 9 21}{2}

Decimal Notation

x = 46.12159 \dots, x = 4.87840 \dots

Solution steps

2 lo g_{3} (x + 15) - lo g_{3} (x) = 4

Apply log rules

(x + 15)^{2} = 81 x

Solve

(x + 15)^{2} = 81 x : x = \frac{51 + 9 21}{2}, x = \frac{51 - 9 21}{2}

x = \frac{51 + 9 21}{2}, x = \frac{51 - 9 21}{2}

Verify Solutions:

x = \frac{51 + 9 21}{2}

True

, x = \frac{51 - 9 21}{2}

True

The solutions are

x = \frac{51 + 9 21}{2}, x = \frac{51 - 9 21}{2}

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

ln (x - 5) = 1

5 lo g_{3} (x + 11) = 5

lo g_{5} (x + 7) = 1 - lo g_{5} (x + 3)

lo g_{7} (x) = - 2

What is the answer to 2log_{3}(x+15)-log_{3}(x)=4 ?
The answer to 2log_{3}(x+15)-log_{3}(x)=4 is x=(51+9sqrt(21))/2 ,x=(51-9sqrt(21))/2
Solve for x: 2log_{3}(x+15)-log_{3}(x)=4
The solution is x=(51+9sqrt(21))/2 ,x=(51-9sqrt(21))/2