What is the answer to log_{3}((x+10)^4)=4 ?

The answer to log_{3}((x+10)^4)=4 is x=-7,x=-13

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log_{3}((x+10)^4)=4

lo g_{3} ((x + 10)^{4}) = 4

x = - 7, x = - 13

Solution steps

lo g_{3} ((x + 10)^{4}) = 4

Apply exponent rule:

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

(x + 10)^{4} = ((x + 10)^{2})^{2}

lo g_{3} (((x + 10)^{2})^{2}) = 4

Apply log rules

(x + 10)^{2} = 9

Solve

(x + 10)^{2} = 9 : x = - 7, x = - 13

x = - 7, x = - 13

Verify Solutions:

x = - 7

True

, x = - 13

True

The solutions are

x = - 7, x = - 13

- 20 lo g_{10} (x) = 10.2

lo g_{2} ((r + 7)^{2}) = 6

2 ln (3 x) + ln (x - 1) = 0

86 = 20 lo g_{10} (\frac{x}{20})

x, t = 5 ln (x)

What is the answer to log_{3}((x+10)^4)=4 ?
The answer to log_{3}((x+10)^4)=4 is x=-7,x=-13
Solve for x: log_{3}((x+10)^4)=4
The solution is x=-7,x=-13