Solving Exponential Equations (lacking a common base)
Solve the exponential equation 6u = 22

lg22/lg6

Step-by-step explanation:

6^u = 22

lg(6^u) = lg22

ulg6 = lg22

u = lg22/lg6

u = log 22 / log 6

u = 1.725

Step-by-step explanation:

Let's start by saying:

When ever you have an exponential equation with a different base, you attack

a

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.