Question

solve, 5^(x+5)=9?

Answer 1

Take the log of both sides.

Answer 2

(x+5)log5=log9

Answer 3

5^(x+5)=9

ln(5^(x+5))=ln(9)

xln(5)+5ln(5)=ln(9)

xln(5)=-5ln(5)+ln(9)

x=-(5ln(5))/(ln(5))+(ln(9))/(ln(5))

x=(-5ln(5)+ln(9))/(ln(5))

x=-3.6348

Answer 4

oh sorry is solve, 5^(x+5)=9^x

Answer 5

5^(x+5)=9^(x)

ln(5^(x+5))=ln(9^(x))

xln(5)+5ln(5)=ln(9^(x))

xln(5)+5ln(5)-xln(9)=0

x(ln(5)-ln(9))=-5ln(5)

x=-(5ln(5))/(ln(5)-ln(9))

x-8.0472