What is the answer to log_{5}(16)=4log_{5}(x) ?

The answer to log_{5}(16)=4log_{5}(x) is x=2

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log_{5}(16)=4log_{5}(x)

lo g_{5} (16) = 4 lo g_{5} (x)

x = 2

Solution steps

lo g_{5} (16) = 4 lo g_{5} (x)

Switch sides

4 lo g_{5} (x) = lo g_{5} (16)

Divide both sides by

4

lo g_{5} (x) = \frac{lo g _{5} ( 16 )}{4}

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{4} (4 x + 5) - lo g_{4} (5 - x) = 1

lo g_{2} (x) = - 0.9

lo g_{2} (x) = - 0.8

lo g_{2} (x) = - 0.5

lo g_{2} (x) = - 0.7

What is the answer to log_{5}(16)=4log_{5}(x) ?
The answer to log_{5}(16)=4log_{5}(x) is x=2
Solve for x: log_{5}(16)=4log_{5}(x)
The solution is x=2