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

The answer to log_{10}(x)+log_{10}(3)=2 is x= 100/3

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

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

x = \frac{100}{3}

Decimal Notation

x = 33.33333 \dots

Solution steps

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

Move

lo g_{10} (3)

to the right side

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

Apply log rules

x = \frac{100}{3}

Verify Solutions:

x = \frac{100}{3}

True

The solution is

x = \frac{100}{3}

lo g_{5} (2 x - 1) = 2

lo g_{3} (x) - lo g_{9} (4 x) = 1

- 8 + lo g_{2} (x + 6) = - 5

ln (2 x - 3) = - 2

y, x = ln (y + 3)

What is the answer to log_{10}(x)+log_{10}(3)=2 ?
The answer to log_{10}(x)+log_{10}(3)=2 is x= 100/3
Solve for x: log_{10}(x)+log_{10}(3)=2
The solution is x= 100/3