What is the answer to log_{2}((40)/x)=3 ?

The answer to log_{2}((40)/x)=3 is x=5

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log_{2}((40)/x)=3

lo g_{2} (\frac{40}{x}) = 3

x = 5

Solution steps

lo g_{2} (\frac{40}{x}) = 3

Apply log rules

\frac{40}{x} = 2^{3}

Multiply both sides by

x

\frac{40}{x} x = 2^{3} x

Simplify

40 = 8 x

Solve

40 = 8 x : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

lo g_{10} (x) = 2.10083394

lo g_{x} (4) = lo g_{2} (x)

5 lo g_{9} (a) = lo g_{9} (x)

lo g_{x} (3) + lo g_{x} (27) = 2

x, f = lo g_{g} (x)

What is the answer to log_{2}((40)/x)=3 ?
The answer to log_{2}((40)/x)=3 is x=5
Solve for x: log_{2}((40)/x)=3
The solution is x=5