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

The answer to log_{2}(4)+log_{2}(c-9)=5 is c=17

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

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

c = 17

Solution steps

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

Move

lo g_{2} (4)

to the right side

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

Apply log rules

c - 9 = 8

Solve

c - 9 = 8 : c = 17

c = 17

Verify Solutions:

c = 17

True

The solution is

c = 17

lo g_{3} (5 x - 4) = 4

lo g_{2 x - 5} (3 x^{2} - 5 x - 19) = 2

lo g_{2} (x^{3}) = 12

6.3 = - ln (16 - a) + 7

lo g_{2} (7 - x) = 5

What is the answer to log_{2}(4)+log_{2}(c-9)=5 ?
The answer to log_{2}(4)+log_{2}(c-9)=5 is c=17
Solve for c: log_{2}(4)+log_{2}(c-9)=5
The solution is c=17