Question

Solve for x: -5/6(8+-5/3x)=-10

Answer 1

Explanation:

ln(10^(3x-8)) = ln(2^(5-x))

[3x-8]ln(10) = [5-x]ln(2)

[3x-8]/[5-x] = ln(2)/ln(10)

(3*ln(10))x - 8*ln(10) = (5*ln(2)) - ln2*x

(3*ln(10))x + ln2*x = 8*ln(10) + (5*ln(2))

x(3*ln(10) + ln2) = 8*ln(10) + (5*ln(2))

7.6x = 21.886

x=2.88

Answer 2

X=-2 2/5
X=-2.4
X=-12/5