I'm going to guess that the above means the following:. . . . .
4^(1 - 3b) = 8^(2b + 1)
(If you're not wanting to use standard web-safe formatting
, please use LaTeX
, so people can understand your meaning. Thank you!)
The trick for solving this sort of exponential equation
is to convert the bases to the same value. For instance:. . . . .
Since 27 = 33
and 9 = 32
, then:. . . . .. . . . .
The equation can then be restated as:. . . . .
Equate the powers:. . . . .
...and solve the resulting linear equation.
Your exercise works the exact same way.