What is the answer to log_{5}(x)+8log_{25}(x)=-10 ?

The answer to log_{5}(x)+8log_{25}(x)=-10 is x= 1/25

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log_{5}(x)+8log_{25}(x)=-10

lo g_{5} (x) + 8 lo g_{25} (x) = - 10

x = \frac{1}{25}

Decimal

x = 0.04

Solution steps

lo g_{5} (x) + 8 lo g_{25} (x) = - 10

Apply log rules

x = \frac{1}{25}

Verify Solutions:

x = \frac{1}{25}

True

The solution is

x = \frac{1}{25}

\frac{1}{2 lo g _{10} ( 2 x - 1 ) + 2} = 5

5 lo g_{x} (16) = 10

3 lo g_{8} (x) = 1

lo g_{10} (x) (\frac{1}{27}) = - 3

lo g_{10} (x) + lo g_{10} (20) = 3

What is the answer to log_{5}(x)+8log_{25}(x)=-10 ?
The answer to log_{5}(x)+8log_{25}(x)=-10 is x= 1/25
Solve for x: log_{5}(x)+8log_{25}(x)=-10
The solution is x= 1/25