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

The answer to log_{2}(x^2)-log_{2}(5x)=4 is x=80

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

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

x = 80

Solution steps

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

Apply log rules

x = 80

Verify Solutions:

x = 80

True

The solution is

x = 80

lo g_{3} (2) + lo g_{3} (x - 4) = 1

ln (x) = 51208

ln (x) (2 ln (x) + 1) = 2

lo g_{2} (n) = 2

lo g_{e} (7 x - 3) = x + 9

What is the answer to log_{2}(x^2)-log_{2}(5x)=4 ?
The answer to log_{2}(x^2)-log_{2}(5x)=4 is x=80
Solve for x: log_{2}(x^2)-log_{2}(5x)=4
The solution is x=80