What is the answer to -2log_{4}(3x)+2=-6 ?

The answer to -2log_{4}(3x)+2=-6 is x= 256/3

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-2log_{4}(3x)+2=-6

- 2 lo g_{4} (3 x) + 2 = - 6

x = \frac{256}{3}

Decimal

x = 85.33333 \dots

Solution steps

- 2 lo g_{4} (3 x) + 2 = - 6

Move

2

to the right side

- 2 lo g_{4} (3 x) = - 8

Divide both sides by

- 2

lo g_{4} (3 x) = 4

Apply log rules

3 x = 256

Solve

3 x = 256 : x = \frac{256}{3}

x = \frac{256}{3}

Verify Solutions:

x = \frac{256}{3}

True

The solution is

x = \frac{256}{3}

lo g_{\frac{1}{2}} (2 x - 4) = - 2

lo g_{8} (x) = \frac{4}{3}

ln (x) + ln (x + 1) = 1

lo g_{x} (5) = - \frac{1}{2}

lo g_{2} (7 - x) = 6

What is the answer to -2log_{4}(3x)+2=-6 ?
The answer to -2log_{4}(3x)+2=-6 is x= 256/3
Solve for x: -2log_{4}(3x)+2=-6
The solution is x= 256/3