Question

Can someone help a girl out? Thankyou!!

Answer 1

Exact answer is below

Explanation:

Log (base 10) both sides of the equation to get

(-x+10) Log 13 = -8x log 9

- x log 13 + 10 log 13 = -8x log 9

-x log 13 + 8x log 9 = - 10 log 13

x ( -log 13 + 8 log 9) = -10 log 13

x = (-10 log 13 ) / (-log 13 + 8 log 9) <======exact answer (base 10 log)

( calculates out to x = - 1.70850293274....)

Answer 2

Explanation:

`13^(-x+10) =9^(-8x) \\13^(-x) *13^(10) =(9^(-8) )^x\\(13^(10) )/(13^(x) ) =((1)/(9^8) )^x\\((13)/(9^8) )^x=13^(10)\\taking ~log\\x log (13)/(9^8) =10log13\\x[log13-log9^8]=10log13\\x[log13-8log9]=10log13\\x=(10 log13)/(log13-8log9)`