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

The answer to log_{2}((x+5)^4)=4 is x=-3,x=-7

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log_{2}((x+5)^4)=4

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

x = - 3, x = - 7

Solution steps

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

Apply exponent rule:

a^{2 \cdot n} = (a^{2})^{n}

(x + 5)^{4} = ((x + 5)^{2})^{2}

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

Apply log rules

(x + 5)^{2} = 4

Solve

(x + 5)^{2} = 4 : x = - 3, x = - 7

x = - 3, x = - 7

Verify Solutions:

x = - 3

True

, x = - 7

True

The solutions are

x = - 3, x = - 7

ln (x - 1) = 5

lo g_{x + 4} (9 x + 16) = 2

ln (6.8 x + 2) - 2 = 8

lo g_{10} (3 x) + lo g_{10} (9) = 0

lo g_{10} (x) - lo g_{10} (3) = 2

What is the answer to log_{2}((x+5)^4)=4 ?
The answer to log_{2}((x+5)^4)=4 is x=-3,x=-7
Solve for x: log_{2}((x+5)^4)=4
The solution is x=-3,x=-7