What is the answer to log_{2}(5x)-3log_{2}(7)=0 ?

The answer to log_{2}(5x)-3log_{2}(7)=0 is x= 343/5

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log_{2}(5x)-3log_{2}(7)=0

lo g_{2} (5 x) - 3 lo g_{2} (7) = 0

x = \frac{343}{5}

Decimal Notation

x = 68.6

Solution steps

lo g_{2} (5 x) - 3 lo g_{2} (7) = 0

Move

3 lo g_{2} (7)

to the right side

lo g_{2} (5 x) = 3 lo g_{2} (7)

Apply log rules

5 x = 343

Solve

5 x = 343 : x = \frac{343}{5}

x = \frac{343}{5}

Verify Solutions:

x = \frac{343}{5}

True

The solution is

x = \frac{343}{5}

9 x^{l o g_{3} (x)} - x^{3} = 0

lo g_{3} ((r + 4)^{2}) = 2

1 \cdot 15 = lo g_{10} (x)

lo g_{4} (x) + lo g_{2} (x) = 12

lo g_{10} (x) = - 2.9

What is the answer to log_{2}(5x)-3log_{2}(7)=0 ?
The answer to log_{2}(5x)-3log_{2}(7)=0 is x= 343/5
Solve for x: log_{2}(5x)-3log_{2}(7)=0
The solution is x= 343/5