What is the answer to 4log_{25}(x)=20log_{5}(x) ?

The answer to 4log_{25}(x)=20log_{5}(x) is x=1

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4log_{25}(x)=20log_{5}(x)

4 lo g_{25} (x) = 20 lo g_{5} (x)

x = 1

Solution steps

4 lo g_{25} (x) = 20 lo g_{5} (x)

Divide both sides by

4

\frac{4 lo g _{25} ( x )}{4} = \frac{20 lo g _{5} ( x )}{4}

Simplify

lo g_{25} (x) = 5 lo g_{5} (x)

Apply log rules

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

ln (y + 2) = ln (42 + 2)

lo g_{x} (9) = 81

lo g_{4} (x^{7}) = - 1

lo g_{10} (t^{2} - 3 t) = 1

lo g_{4} (x^{7}) = - 6

What is the answer to 4log_{25}(x)=20log_{5}(x) ?
The answer to 4log_{25}(x)=20log_{5}(x) is x=1
Solve for x: 4log_{25}(x)=20log_{5}(x)
The solution is x=1