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

The answer to log_{10}(x)+log_{10}(2)=3 is x=500

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

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

x = 500

Solution steps

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

Move

lo g_{10} (2)

to the right side

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

Apply log rules

x = 500

Verify Solutions:

x = 500

True

The solution is

x = 500

lo g_{x} (e^{5}) = 5

lo g_{10} (x^{2}) = \frac{1}{4}

2 ln (2) = ln (4 - 8 + C)

lo g_{4} (2 x + 9) = 3

3 ln (x) + 2 ln (x^{2}) = 6

What is the answer to log_{10}(x)+log_{10}(2)=3 ?
The answer to log_{10}(x)+log_{10}(2)=3 is x=500
Solve for x: log_{10}(x)+log_{10}(2)=3
The solution is x=500