Solve each equation. Round your anwsers to the nearest ten-thousandth.

Question

1. 5^6m +8=92
2. e^n+8.2 +5=0

Answer 1

1. 5^6m +8=92
2. e^n+8.2 +5=0

take ln both sides of equation 1.

6m*ln5=ln84

m=(1/6)[ln84}/[ln5]

equation 2 try e^(n+8.2)=-5

since eⁿ=-13.2 has no solution as eⁿ>0 always

still no solution, e^(n+8.2)>0 always.

Answer 2

5^6m = 92-8 = 84

5^x = 84

where x=6m

find x

2<x<3 as

5^2 < 5^3

25<125

wild guess might be about 2.58 then set that =6m, so divide by 6.

maybe m = about .43