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

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

Solve for x: log_{10}(5)+2log_{10}(x)=3

The solution is x=10^{(3-log_{10}(5))/2}

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

x = 1 0^{\frac{3 - l o g _{10} ( 5 )}{2}}

Decimal Notation

x = 14.14213 \dots

Solution steps

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

Move

lo g_{10} (5)

to the right side

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

Divide both sides by

2

lo g_{10} (x) = \frac{3 - lo g _{10} ( 5 )}{2}

Apply log rules

x = 1 0^{\frac{3 - l o g _{10} ( 5 )}{2}}

Verify Solutions:

x = 1 0^{\frac{3 - l o g _{10} ( 5 )}{2}}

True

The solution is

x = 1 0^{\frac{3 - l o g _{10} ( 5 )}{2}}

- 8 lo g_{9} (x) = 16, x

5 lo g_{3} (y) = 9 + lo g_{y} (9)

a, lo g_{5} (a) = 12

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

lo g_{x} (100000) = 3

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