a) (0.75)10^1.25x = 11.25
b) 3.2e^-0.5 = 0.04e^3j
c) 164.9 =log square root 2 pie R
d) log 20 + log(6x-20) = 3
e) log(x-3) = 1/2 log(12-8x)
can someone please help me with these promlems asap. Thanks
a) (0.75)10^1.25x = 11.25
b) 3.2e^-0.5 = 0.04e^3j
c) 164.9 =log square root 2 pie R
d) log 20 + log(6x-20) = 3
e) log(x-3) = 1/2 log(12-8x)
can someone please help me with these promlems asap. Thanks
$\displaystyle (0.75)10^{1.25x} = 11.25$
Divide both sides by 0.75
$\displaystyle 10^{1.25x} = \frac{11.25}{0.75} \Rightarrow 15$
Take the natural log of both sides
$\displaystyle \ln|10|1.25x = \ln|15|$
$\displaystyle 2.303*1.25x = 2.708$
$\displaystyle x = 0.940855566$