What is the answer to 6/x =log_{0.5}(0.4) ?

The answer to 6/x =log_{0.5}(0.4) is x=-6/(log_{2)(0.4)}

Solve for x: 6/x =log_{0.5}(0.4)

The solution is x=-6/(log_{2)(0.4)}

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\frac{6}{x} = lo g_{0.5} (0.4)

x = - \frac{6}{lo g _{2} ( 0.4 )}

Decimal Notation

x = 4.53882 \dots

Solution steps

\frac{6}{x} = lo g_{0.5} (0.4)

Multiply both sides by

x

6 = - lo g_{2} (0.4) x

Switch sides

- lo g_{2} (0.4) x = 6

Divide both sides by

- lo g_{2} (0.4)

x = - \frac{6}{lo g _{2} ( 0.4 )}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{6}{lo g _{2} ( 0.4 )}

y, x = \frac{1}{1 + y ^{2}}

\frac{4}{3 x + 1} = \frac{x}{2 x + 10}

\frac{1}{x ^{4}} = x^{- 4}

\frac{5 x + 5}{7 x + 7} = \frac{5}{7}

\frac{x - 6}{4 x} + 1 = \frac{x + 4}{x}

What is the answer to 6/x =log_{0.5}(0.4) ?
The answer to 6/x =log_{0.5}(0.4) is x=-6/(log_{2)(0.4)}
Solve for x: 6/x =log_{0.5}(0.4)
The solution is x=-6/(log_{2)(0.4)}