Solve 85x 61 x 0 If the answer is not an integer enter it

Solve. (8/5)^x - 6^1 -x = 0 If the answer is not an integer, enter it as a decimal rounded to the nearest hundredth, if needed. x =

(8/5)^x - 6^(1-x) =0

rewriting:

(8/5)^x = 6^(1-x)

taking log on both sides:

ln(8/5)^x = ln(6^(1-x))

x*ln(8/5) = (1-x)ln6

x( ln(8/5) +ln6) = ln6

x= ln(6)/( ln(8/5) +ln6)

= 1.7917/2.2617

x= 0.79