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Algebra check

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Where appropriate, include the approximation to the nearest ten-thousandth.

27.) log x = -3
I have the answer as 1

28.) 7 ^(4-9x)= 49 I have the answer as 2/9

29.) 8^x =5.2 not sure
30.) 1n x=5/8 not sure
Are these answers right?

  • Algebra check -

    27) 10^-3 = x
    x = .001

    28) yes

    29) take ln of both sides.
    xln(8)= ln(5.2)
    x = ln(5.2)/ln(8) ~ 0.7928

    30) raise both sides to the e
    e^ (lnx) = e^(5/8)
    x=e^(5/8) ~ 1.868

  • wifyuhx ohantg -

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