What is the answer to 2log_{10}(x)=3log_{5}(4) ?

The answer to 2log_{10}(x)=3log_{5}(4) is x=1000^{log_{5}(2)}

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2log_{10}(x)=3log_{5}(4)

2 lo g_{10} (x) = 3 lo g_{5} (4)

x = 100 0^{l o g_{5} (2)}

Decimal Notation

x = 19.58978 \dots

Solution steps

2 lo g_{10} (x) = 3 lo g_{5} (4)

Divide both sides by

2

lo g_{10} (x) = \frac{3 lo g _{5} ( 4 )}{2}

Apply log rules

x = 100 0^{l o g_{5} (2)}

Verify Solutions:

x = 100 0^{l o g_{5} (2)}

True

The solution is

x = 100 0^{l o g_{5} (2)}

30 = 85 - 55 lo g_{10} (t + 2)

lo g_{3} (8 x + 1) - lo g_{3} (x - 1) = 2

5.6 = - lo g_{10} (x)

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

lo g_{0.02} (x) = - 1

What is the answer to 2log_{10}(x)=3log_{5}(4) ?
The answer to 2log_{10}(x)=3log_{5}(4) is x=1000^{log_{5}(2)}
Solve for x: 2log_{10}(x)=3log_{5}(4)
The solution is x=1000^{log_{5}(2)}