What is the answer to log_{10}(x-3)+log_{10}(5)=2 ?

The answer to log_{10}(x-3)+log_{10}(5)=2 is x=23

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log_{10}(x-3)+log_{10}(5)=2

lo g_{10} (x - 3) + lo g_{10} (5) = 2

x = 23

Solution steps

lo g_{10} (x - 3) + lo g_{10} (5) = 2

Move

lo g_{10} (5)

to the right side

lo g_{10} (x - 3) = 2 - lo g_{10} (5)

Apply log rules

x - 3 = 20

Solve

x - 3 = 20 : x = 23

x = 23

Verify Solutions:

x = 23

True

The solution is

x = 23

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

lo g_{10} (2 x^{2} - 5) = 0

lo g_{x} (8) = 3

lo g_{5} (3 x - 8) = 2

lo g_{x} (16) = 2

What is the answer to log_{10}(x-3)+log_{10}(5)=2 ?
The answer to log_{10}(x-3)+log_{10}(5)=2 is x=23
Solve for x: log_{10}(x-3)+log_{10}(5)=2
The solution is x=23