What is the answer to log_{10}(x)+log_{10}(30)=4 ?

The answer to log_{10}(x)+log_{10}(30)=4 is x= 1000/3

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log_{10}(x)+log_{10}(30)=4

lo g_{10} (x) + lo g_{10} (30) = 4

x = \frac{1000}{3}

Decimal Notation

x = 333.33333 \dots

Solution steps

lo g_{10} (x) + lo g_{10} (30) = 4

Move

lo g_{10} (30)

to the right side

lo g_{10} (x) = 4 - lo g_{10} (30)

Apply log rules

x = \frac{1000}{3}

Verify Solutions:

x = \frac{1000}{3}

True

The solution is

x = \frac{1000}{3}

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

lo g_{10} (x) + lo g_{10} (x + 5) = 1

lo g_{2} (x) = lo g_{2} (5)

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

x, 2 lo g_{3} (x + 28) = 6

What is the answer to log_{10}(x)+log_{10}(30)=4 ?
The answer to log_{10}(x)+log_{10}(30)=4 is x= 1000/3
Solve for x: log_{10}(x)+log_{10}(30)=4
The solution is x= 1000/3