What is the answer to log_{10}(16x)-log_{10}(4)=2 ?

The answer to log_{10}(16x)-log_{10}(4)=2 is x=25

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log_{10}(16x)-log_{10}(4)=2

lo g_{10} (16 x) - lo g_{10} (4) = 2

x = 25

Solution steps

lo g_{10} (16 x) - lo g_{10} (4) = 2

Move

lo g_{10} (4)

to the right side

lo g_{10} (16 x) = 2 + lo g_{10} (4)

Apply log rules

16 x = 400

Solve

16 x = 400 : x = 25

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

12.5 = - lo g_{10} (x)

0.4 = ln (x)

lo g_{4} (2 x - 1) = \frac{1}{2}

ln (8 x - 1) = - 4

ln (2 + x^{2}) = 1 + 2 ln (x)

What is the answer to log_{10}(16x)-log_{10}(4)=2 ?
The answer to log_{10}(16x)-log_{10}(4)=2 is x=25
Solve for x: log_{10}(16x)-log_{10}(4)=2
The solution is x=25