How do you solve, 50(1.035)^n=200 ?

Question

765 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-03T01:22:59

#n=ln(4)/ln(1.035)#

Divide both sides by #50:#

#((cancel50)(1.035)^n)/cancel50=200/50#

#(1.035)^n=4#

Apply the natural logarithm to both sides:

#ln((1.035)^n)=ln(4)#

#nln(1.035)=ln(4)#

Because #ln(a^b)=bln(a)#

Divide both sides by #ln(1.035):#

#(ncancel(ln1.035))/cancelln1.035=ln(4)/ln(1.035)#

#n=ln(4)/ln(1.035)#