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

The answer to log_{2}(5x)-log_{2}(2)=3 is x= 16/5

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

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

x = \frac{16}{5}

Solution steps

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

Move

lo g_{2} (2)

to the right side

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

Apply log rules

5 x = 16

Solve

5 x = 16 : x = \frac{16}{5}

x = \frac{16}{5}

Verify Solutions:

x = \frac{16}{5}

True

The solution is

x = \frac{16}{5}

x, 4 ln (3 x) = 16

- 2 x + 5 \cdot ln (x + 1) - 2 = 0

x, 2 (lo g_{9} (30 x)) = 7

lo g_{2} (x + 1) + lo g_{2} (3 x + 1) = 3

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

What is the answer to log_{2}(5x)-log_{2}(2)=3 ?
The answer to log_{2}(5x)-log_{2}(2)=3 is x= 16/5
Solve for x: log_{2}(5x)-log_{2}(2)=3
The solution is x= 16/5