What is the answer to log_{4}((5(x-1)-2)^2)=3 ?

The answer to log_{4}((5(x-1)-2)^2)=3 is x=3,x=-1/5

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log_{4}((5(x-1)-2)^2)=3

lo g_{4} ((5 (x - 1) - 2)^{2}) = 3

x = 3, x = - \frac{1}{5}

Decimal

x = 3, x = - 0.2

Solution steps

lo g_{4} ((5 (x - 1) - 2)^{2}) = 3

Apply log rules

(5 (x - 1) - 2)^{2} = 64

Solve

(5 (x - 1) - 2)^{2} = 64 : x = 3, x = - \frac{1}{5}

x = 3, x = - \frac{1}{5}

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

3 lo g_{10} (5 x) = - 9

y, lo g_{x - y} (8) = - 3

\frac{x}{2} = x ln (x^{2})

\frac{ln ( x ^{3} )}{4} = (ln (x))^{3}

What is the answer to log_{4}((5(x-1)-2)^2)=3 ?
The answer to log_{4}((5(x-1)-2)^2)=3 is x=3,x=-1/5
Solve for x: log_{4}((5(x-1)-2)^2)=3
The solution is x=3,x=-1/5