What is the answer to 9/4 log_{5}(x)=-8 ?

The answer to 9/4 log_{5}(x)=-8 is x= 1/(125*5^{5/9)}

Solve for x: 9/4 log_{5}(x)=-8

The solution is x= 1/(125*5^{5/9)}

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\frac{9}{4} lo g_{5} (x) = - 8

x = \frac{1}{125 \cdot 5 ^{\frac{5}{9}}}

Decimal Notation

x = 0.00327 \dots

Solution steps

\frac{9}{4} lo g_{5} (x) = - 8

Multiply both sides by

4

9 lo g_{5} (x) = - 32

Divide both sides by

9

lo g_{5} (x) = - \frac{32}{9}

Apply log rules

x = \frac{1}{125 \cdot 5 ^{\frac{5}{9}}}

Verify Solutions:

x = \frac{1}{125 \cdot 5 ^{\frac{5}{9}}}

True

The solution is

x = \frac{1}{125 \cdot 5 ^{\frac{5}{9}}}

16 t^{2} ln (t) + 8 t^{2} = 0

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

2.44 = - lo g_{10} (x)

\frac{( ln ( x ) )}{x} y = 0

(q) = 5 + 10 lo g_{10} (10 + 2 q)

What is the answer to 9/4 log_{5}(x)=-8 ?
The answer to 9/4 log_{5}(x)=-8 is x= 1/(125*5^{5/9)}
Solve for x: 9/4 log_{5}(x)=-8
The solution is x= 1/(125*5^{5/9)}