What is the answer to log_{5}(5x^2)-log_{5}(4)=5 ?

The answer to log_{5}(5x^2)-log_{5}(4)=5 is x=50,x=-50

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log_{5}(5x^2)-log_{5}(4)=5

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

x = 50, x = - 50

Solution steps

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

Move

lo g_{5} (4)

to the right side

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

Apply log rules

5 x^{2} = 12500

Solve

5 x^{2} = 12500 : x = 50, x = - 50

x = 50, x = - 50

Verify Solutions:

x = 50

True

, x = - 50

True

The solutions are

x = 50, x = - 50

ln (x + 2) - ln (x) = 4

lo g_{a} (a) = 2

lo g_{y} (2) = 8

ln (x + 1) - ln (x - 5) = 3

0 = - \frac{ln ( - 3 ( 0 ) ^{2} + c )}{2}

What is the answer to log_{5}(5x^2)-log_{5}(4)=5 ?
The answer to log_{5}(5x^2)-log_{5}(4)=5 is x=50,x=-50
Solve for x: log_{5}(5x^2)-log_{5}(4)=5
The solution is x=50,x=-50