What is the answer to 4log_{2}(x-9)+log_{2}(2)=5 ?

The answer to 4log_{2}(x-9)+log_{2}(2)=5 is x=11

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4log_{2}(x-9)+log_{2}(2)=5

4 lo g_{2} (x - 9) + lo g_{2} (2) = 5

x = 11

Solution steps

4 lo g_{2} (x - 9) + lo g_{2} (2) = 5

Move

lo g_{2} (2)

to the right side

4 lo g_{2} (x - 9) = 5 - lo g_{2} (2)

Divide both sides by

4

lo g_{2} (x - 9) = \frac{5 - lo g _{2} ( 2 )}{4}

Apply log rules

x - 9 = 2

Solve

x - 9 = 2 : x = 11

x = 11

Verify Solutions:

x = 11

True

The solution is

x = 11

0.789 = ln (x^{2})

0.42 = ln (x)

ln (y) = x^{2}, y

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

2 ln (x) = ln (5 + 4 x)

What is the answer to 4log_{2}(x-9)+log_{2}(2)=5 ?
The answer to 4log_{2}(x-9)+log_{2}(2)=5 is x=11
Solve for x: 4log_{2}(x-9)+log_{2}(2)=5
The solution is x=11