sanman777 wrote:4^1-3b=8^2b+1
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 = 3
^{3} and 9 = 3
^{2}, then:
. . . . .. . . . .The equation can then be restated as:
. . . . .Equate the powers:
. . . . ....and solve the resulting linear equation.
Your exercise works the exact same way.