What is the answer to -4log_{10}(x)=2log_{10}(16)-3log_{10}(256) ?

The answer to -4log_{10}(x)=2log_{10}(16)-3log_{10}(256) is x=16

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-4log_{10}(x)=2log_{10}(16)-3log_{10}(256)

- 4 lo g_{10} (x) = 2 lo g_{10} (16) - 3 lo g_{10} (256)

x = 16

Solution steps

- 4 lo g_{10} (x) = 2 lo g_{10} (16) - 3 lo g_{10} (256)

Divide both sides by

- 4

lo g_{10} (x) = - \frac{2 lo g _{10} ( 16 ) - 3 lo g _{10} ( 256 )}{4}

Apply log rules

x = 16

Verify Solutions:

x = 16

True

The solution is

x = 16

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

y, x = \frac{y}{lo g _{y} ( 10 )}

lo g_{1000} (x) = - \frac{1}{3}

ln (3 x - 4) = 2 x

lo g_{4} (2^{x}) = 5 x + 3

What is the answer to -4log_{10}(x)=2log_{10}(16)-3log_{10}(256) ?
The answer to -4log_{10}(x)=2log_{10}(16)-3log_{10}(256) is x=16
Solve for x: -4log_{10}(x)=2log_{10}(16)-3log_{10}(256)
The solution is x=16