What is the answer to log_{5}(1/81)=xlog_{5}(3) ?

The answer to log_{5}(1/81)=xlog_{5}(3) is x=-4

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log_{5}(1/81)=xlog_{5}(3)

lo g_{5} (\frac{1}{81}) = x lo g_{5} (3)

x = - 4

Solution steps

lo g_{5} (\frac{1}{81}) = x lo g_{5} (3)

Switch sides

x lo g_{5} (3) = lo g_{5} (\frac{1}{81})

Divide both sides by

lo g_{5} (3)

x = - 4

1 \cdot 1 0^{5} \cdot 1^{1.4} = x \cdot 3. 5^{1.4}

0 = 3 - (x + 5)

lo g_{10} (6) = 7782

10 + x = 20

3 x - 2 = 6 x - 5

What is the answer to log_{5}(1/81)=xlog_{5}(3) ?
The answer to log_{5}(1/81)=xlog_{5}(3) is x=-4
Solve for x: log_{5}(1/81)=xlog_{5}(3)
The solution is x=-4