What is the answer to log_{0.04}((x+1)^6)=2 ?

The answer to log_{0.04}((x+1)^6)=2 is x=-0.65800…,x=-1.34199…

Solve for x: log_{0.04}((x+1)^6)=2

The solution is x=-0.65800…,x=-1.34199…

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lo g_{0.04} ((x + 1)^{6}) = 2

x = - 0.65800 \dots, x = - 1.34199 \dots

Solution steps

lo g_{0.04} ((x + 1)^{6}) = 2

Apply exponent rule:

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

(x + 1)^{6} = ((x + 1)^{2})^{3}

lo g_{0.04} (((x + 1)^{2})^{3}) = 2

Apply log rules

(x + 1)^{2} = 0.0 4^{\frac{2}{3}}

Solve

(x + 1)^{2} = 0.0 4^{\frac{2}{3}} : x = - 0.65800 \dots, x = - 1.34199 \dots

x = - 0.65800 \dots, x = - 1.34199 \dots

Verify Solutions:

x = - 0.65800 \dots

True

, x = - 1.34199 \dots

True

The solutions are

x = - 0.65800 \dots, x = - 1.34199 \dots

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

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

lo g_{8} (x) = \frac{2}{3}

lo g_{3} (x^{2} - 7) = 2

ln (3 x - 1) = 4

What is the answer to log_{0.04}((x+1)^6)=2 ?
The answer to log_{0.04}((x+1)^6)=2 is x=-0.65800…,x=-1.34199…
Solve for x: log_{0.04}((x+1)^6)=2
The solution is x=-0.65800…,x=-1.34199…