Solve for X lnx^{2} =-2 please show steps I have the answer, I just want to know ho

Question

Solve for X

lnx^{2} =-2

please show steps

I have the answer,

I just want to know how to do this 🙂

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bonexptip 4 years 2021-08-18T19:42:40+00:00 2 Answers 4 views 0

Answers ( )

    0
    2021-08-18T19:43:49+00:00

    Answer:

    Step-by-step explanation:

    lnx^n=nlnx

    \ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}

    0
    2021-08-18T19:44:16+00:00

    Answer:

    x = \pm e^{-1}

    General Formulas and Concepts:

    Pre-Algebra

    Order of Operations: BPEMDAS

    1. Brackets
    2. Parenthesis
    3. Exponents
    4. Multiplication
    5. Division
    6. Addition
    7. Subtraction
    • Left to Right

    Equality Properties

    • Multiplication Property of Equality
    • Division Property of Equality
    • Addition Property of Equality
    • Subtract Property of Equality

    Algebra I

    • Solving quadratics
    • Multiple roots

    Algebra II

    • Logarithms
    • Euler’s number e

    Step-by-step explanation:

    Step 1: Define

    \displaystyle ln(x^2) = -2

    Step 2: Solve for x

    1. Raise both sides by e:                    e^{\displaystyle ln(x^2)} = e^{-2}
    2. Simplify equation:                           x^2 = e^{-2}
    3. Square root both sides:                 x = \pm e^{-1}

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )