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

The answer to log_{4}((x-2)^2)=-3 is x= 17/8 ,x= 15/8

Solve for x: log_{4}((x-2)^2)=-3

The solution is x= 17/8 ,x= 15/8

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

x = \frac{17}{8}, x = \frac{15}{8}

Decimal

x = 2.125, x = 1.875

Solution steps

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

Apply log rules

(x - 2)^{2} = \frac{1}{64}

Solve

(x - 2)^{2} = \frac{1}{64} : x = \frac{17}{8}, x = \frac{15}{8}

x = \frac{17}{8}, x = \frac{15}{8}

ln (x + 13) - ln (x) = 2

lo g_{x} (32) = - 5

ln (x) - ln (x + 2) = 8

ln (5 x) + 4 = 7

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

What is the answer to log_{4}((x-2)^2)=-3 ?
The answer to log_{4}((x-2)^2)=-3 is x= 17/8 ,x= 15/8
Solve for x: log_{4}((x-2)^2)=-3
The solution is x= 17/8 ,x= 15/8