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

The answer to -2log_{5}(7x)=2 is x= 1/35

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

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

x = \frac{1}{35}

Decimal Notation

x = 0.02857 \dots

Solution steps

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

Divide both sides by

- 2

lo g_{5} (7 x) = - 1

Apply log rules

7 x = \frac{1}{5}

Solve

7 x = \frac{1}{5} : x = \frac{1}{35}

x = \frac{1}{35}

Verify Solutions:

x = \frac{1}{35}

True

The solution is

x = \frac{1}{35}

4.7 = - lo g_{10} (x)

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

lo g_{2} (x + 6) + lo g_{2} (x - 1) = 3

lo g_{10} (x) = 0.6

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

What is the answer to -2log_{5}(7x)=2 ?
The answer to -2log_{5}(7x)=2 is x= 1/35
Solve for x: -2log_{5}(7x)=2
The solution is x= 1/35