What is the answer to log_{10}(x)-log_{10}(4)=2 ?

The answer to log_{10}(x)-log_{10}(4)=2 is x=400

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log_{10}(x)-log_{10}(4)=2

lo g_{10} (x) - lo g_{10} (4) = 2

x = 400

Solution steps

lo g_{10} (x) - lo g_{10} (4) = 2

Move

lo g_{10} (4)

to the right side

lo g_{10} (x) = 2 + lo g_{10} (4)

Apply log rules

x = 400

Verify Solutions:

x = 400

True

The solution is

x = 400

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

lo g_{6} (x + 1) + lo g_{6} (2) = 1

1 + 2 lo g_{4} (t + 1) = 2 lo g_{2} (t)

lo g_{5} (3 x - 2) = 1 + lo g_{5} (x - 4)

ln (x + 5) = 2

What is the answer to log_{10}(x)-log_{10}(4)=2 ?
The answer to log_{10}(x)-log_{10}(4)=2 is x=400
Solve for x: log_{10}(x)-log_{10}(4)=2
The solution is x=400