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

The answer to 2log_{10}(x)=log_{10}(x)+3 is x=1000

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

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

x = 1000

Solution steps

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

Move

lo g_{10} (x)

to the left side

lo g_{10} (x) = 3

Apply log rules

x = 1000

Verify Solutions:

x = 1000

True

The solution is

x = 1000

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

1.85 = - lo g_{10} (x)

lo g_{x} (0.1) = - \frac{1}{3}

10 lo g_{10} (x) = 26.5

lo g_{4} (3 x^{2} + 6 x + 7) = 2

What is the answer to 2log_{10}(x)=log_{10}(x)+3 ?
The answer to 2log_{10}(x)=log_{10}(x)+3 is x=1000
Solve for x: 2log_{10}(x)=log_{10}(x)+3
The solution is x=1000