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

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

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

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

x = \frac{3}{2}

Solution steps

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

Divide both sides by

- 5

lo g_{3} (2 x) = 1

Apply log rules

2 x = 3

Solve

2 x = 3 : x = \frac{3}{2}

x = \frac{3}{2}

Verify Solutions:

x = \frac{3}{2}

True

The solution is

x = \frac{3}{2}

lo g_{10} (5 x) + lo g_{10} (x - 1) = 2

lo g_{10} (x) + lo g_{10} (x - 9) = 1

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

2 lo g_{3} (x + 15) - lo g_{3} (x) = 4

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

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