What is the answer to log_{2}(4x)-2log_{2}(5)=3 ?

The answer to log_{2}(4x)-2log_{2}(5)=3 is x=50

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log_{2}(4x)-2log_{2}(5)=3

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

x = 50

Solution steps

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

Move

2 lo g_{2} (5)

to the right side

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

Apply log rules

4 x = 200

Solve

4 x = 200 : x = 50

x = 50

Verify Solutions:

x = 50

True

The solution is

x = 50

ln (3 x) + ln (6) = ln (5 x + 7)

ln (3) = ln (7 x - 2) - 2 ln (x)

lo g_{3} (8 x) - lo g_{3} (4) = 4

6 = 7.2 + lo g_{10} (x)

lo g_{16} (x) = (lo g_{4} (x^{2}))

What is the answer to log_{2}(4x)-2log_{2}(5)=3 ?
The answer to log_{2}(4x)-2log_{2}(5)=3 is x=50
Solve for x: log_{2}(4x)-2log_{2}(5)=3
The solution is x=50