What is the answer to 8+log_{5}(-4x)=10 ?

The answer to 8+log_{5}(-4x)=10 is x=-25/4

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8+log_{5}(-4x)=10

8 + lo g_{5} (- 4 x) = 10

x = - \frac{25}{4}

Decimal Notation

x = - 6.25

Solution steps

8 + lo g_{5} (- 4 x) = 10

Move

8

to the right side

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

Apply log rules

- 4 x = 25

Solve

- 4 x = 25 : x = - \frac{25}{4}

x = - \frac{25}{4}

Verify Solutions:

x = - \frac{25}{4}

True

The solution is

x = - \frac{25}{4}

7.4 = - lo g_{10} (x)

lo g_{2} (x) = - 2

lo g_{5} (x) = 16 lo g_{x} (5)

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

2 lo g_{10} (x) ln (10) = ln (4)

What is the answer to 8+log_{5}(-4x)=10 ?
The answer to 8+log_{5}(-4x)=10 is x=-25/4
Solve for x: 8+log_{5}(-4x)=10
The solution is x=-25/4