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

The answer to 2log_{5}(x)=3log_{5}(4) is x=8

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

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

x = 8

Solution steps

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

Divide both sides by

2

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

Apply log rules

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

lo g_{x} (64) = \frac{1}{2}

lo g_{3} (x^{2}) = 2

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

19 + 2 ln (x) = 25

lo g_{x} (15) = - 1

What is the answer to 2log_{5}(x)=3log_{5}(4) ?
The answer to 2log_{5}(x)=3log_{5}(4) is x=8
Solve for x: 2log_{5}(x)=3log_{5}(4)
The solution is x=8