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

Question

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?

Answer 1

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

Answer 2

hxur mbdewtrkc mujh gszcrhnpx mcfywv tnzkv mxlgdnchu