What is the answer to -5-2log_{4}(-10x+1)=-11 ?

The answer to -5-2log_{4}(-10x+1)=-11 is x=-63/10

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-5-2log_{4}(-10x+1)=-11

- 5 - 2 lo g_{4} (- 10 x + 1) = - 11

x = - \frac{63}{10}

Decimal

x = - 6.3

Solution steps

- 5 - 2 lo g_{4} (- 10 x + 1) = - 11

Move

5

to the right side

- 2 lo g_{4} (- 10 x + 1) = - 6

Divide both sides by

- 2

lo g_{4} (- 10 x + 1) = 3

Apply log rules

- 10 x + 1 = 64

Solve

- 10 x + 1 = 64 : x = - \frac{63}{10}

x = - \frac{63}{10}

Verify Solutions:

x = - \frac{63}{10}

True

The solution is

x = - \frac{63}{10}

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

ln (5 x) + 1 = 0

20 lo g_{10} (x) = - 1

20 lo g_{10} (x) = 10

20 lo g_{10} (x) = 40

What is the answer to -5-2log_{4}(-10x+1)=-11 ?
The answer to -5-2log_{4}(-10x+1)=-11 is x=-63/10
Solve for x: -5-2log_{4}(-10x+1)=-11
The solution is x=-63/10